diff --git a/lib/config/blockpullorder.go b/lib/config/blockpullorder.go
new file mode 100644
index 000000000..03b26552a
--- /dev/null
+++ b/lib/config/blockpullorder.go
@@ -0,0 +1,46 @@
+// Copyright (C) 2020 The Syncthing Authors.
+//
+// This Source Code Form is subject to the terms of the Mozilla Public
+// License, v. 2.0. If a copy of the MPL was not distributed with this file,
+// You can obtain one at https://mozilla.org/MPL/2.0/.
+
+package config
+
+type BlockPullOrder int
+
+const (
+	BlockPullOrderStandard BlockPullOrder = iota // default is standard
+	BlockPullOrderRandom
+	BlockPullOrderInOrder
+)
+
+func (o BlockPullOrder) String() string {
+	switch o {
+	case BlockPullOrderStandard:
+		return "standard"
+	case BlockPullOrderRandom:
+		return "random"
+	case BlockPullOrderInOrder:
+		return "inOrder"
+	default:
+		return "unknown"
+	}
+}
+
+func (o BlockPullOrder) MarshalText() ([]byte, error) {
+	return []byte(o.String()), nil
+}
+
+func (o *BlockPullOrder) UnmarshalText(bs []byte) error {
+	switch string(bs) {
+	case "standard":
+		*o = BlockPullOrderStandard
+	case "random":
+		*o = BlockPullOrderRandom
+	case "inOrder":
+		*o = BlockPullOrderInOrder
+	default:
+		*o = BlockPullOrderStandard
+	}
+	return nil
+}
diff --git a/lib/config/folderconfiguration.go b/lib/config/folderconfiguration.go
index f7c054899..5a594ff89 100644
--- a/lib/config/folderconfiguration.go
+++ b/lib/config/folderconfiguration.go
@@ -59,6 +59,7 @@ type FolderConfiguration struct {
 	RawModTimeWindowS       int                         `xml:"modTimeWindowS" json:"modTimeWindowS"`
 	MaxConcurrentWrites     int                         `xml:"maxConcurrentWrites" json:"maxConcurrentWrites" default:"2"`
 	DisableFsync            bool                        `xml:"disableFsync" json:"disableFsync"`
+	BlockPullOrder          BlockPullOrder              `xml:"blockPullOrder" json:"blockPullOrder"`
 
 	cachedFilesystem    fs.Filesystem
 	cachedModTimeWindow time.Duration
diff --git a/lib/model/blockpullreorderer.go b/lib/model/blockpullreorderer.go
new file mode 100644
index 000000000..cb5ad9805
--- /dev/null
+++ b/lib/model/blockpullreorderer.go
@@ -0,0 +1,125 @@
+// Copyright (C) 2020 The Syncthing Authors.
+//
+// This Source Code Form is subject to the terms of the Mozilla Public
+// License, v. 2.0. If a copy of the MPL was not distributed with this file,
+// You can obtain one at https://mozilla.org/MPL/2.0/.
+
+package model
+
+import (
+	"github.com/syncthing/syncthing/lib/config"
+	"github.com/syncthing/syncthing/lib/protocol"
+	"github.com/syncthing/syncthing/lib/rand"
+	"sort"
+)
+
+type blockPullReorderer interface {
+	Reorder(blocks []protocol.BlockInfo) []protocol.BlockInfo
+}
+
+func newBlockPullReorderer(order config.BlockPullOrder, id protocol.DeviceID, otherDevices []protocol.DeviceID) blockPullReorderer {
+	switch order {
+	case config.BlockPullOrderRandom:
+		return randomOrderBlockPullReorderer{}
+	case config.BlockPullOrderInOrder:
+		return inOrderBlockPullReorderer{}
+	case config.BlockPullOrderStandard:
+		fallthrough
+	default:
+		return newStandardBlockPullReorderer(id, otherDevices)
+	}
+}
+
+type inOrderBlockPullReorderer struct{}
+
+func (inOrderBlockPullReorderer) Reorder(blocks []protocol.BlockInfo) []protocol.BlockInfo {
+	return blocks
+}
+
+type randomOrderBlockPullReorderer struct{}
+
+func (randomOrderBlockPullReorderer) Reorder(blocks []protocol.BlockInfo) []protocol.BlockInfo {
+	rand.Shuffle(blocks)
+	return blocks
+}
+
+type standardBlockPullReorderer struct {
+	myIndex int
+	count   int
+	shuffle func(interface{}) // Used for test
+}
+
+func newStandardBlockPullReorderer(id protocol.DeviceID, otherDevices []protocol.DeviceID) *standardBlockPullReorderer {
+	allDevices := append(otherDevices, id)
+	sort.Slice(allDevices, func(i, j int) bool {
+		return allDevices[i].Compare(allDevices[j]) == -1
+	})
+	// Find our index
+	myIndex := -1
+	for i, dev := range allDevices {
+		if dev == id {
+			myIndex = i
+			break
+		}
+	}
+	if myIndex < 0 {
+		panic("bug: could not find my own index")
+	}
+	return &standardBlockPullReorderer{
+		myIndex: myIndex,
+		count:   len(allDevices),
+		shuffle: rand.Shuffle,
+	}
+}
+
+func (p *standardBlockPullReorderer) Reorder(blocks []protocol.BlockInfo) []protocol.BlockInfo {
+	if len(blocks) == 0 {
+		return blocks
+	}
+
+	// Split the blocks into len(allDevices) chunks. Chunk count might be less than device count, if there are more
+	// devices than blocks.
+	chunks := chunk(blocks, p.count)
+
+	newBlocks := make([]protocol.BlockInfo, 0, len(blocks))
+
+	// First add our own chunk. We might fall off the list if there are more devices than chunks...
+	if p.myIndex < len(chunks) {
+		newBlocks = append(newBlocks, chunks[p.myIndex]...)
+	}
+
+	// The rest of the chunks we fetch in a random order in whole chunks.
+	// Generate chunk index slice and shuffle it
+	indexes := make([]int, 0, len(chunks)-1)
+	for i := 0; i < len(chunks); i++ {
+		if i != p.myIndex {
+			indexes = append(indexes, i)
+		}
+	}
+
+	p.shuffle(indexes)
+
+	// Append the chunks in the order of the index slices.
+	for _, idx := range indexes {
+		newBlocks = append(newBlocks, chunks[idx]...)
+	}
+
+	return newBlocks
+}
+
+func chunk(blocks []protocol.BlockInfo, partCount int) [][]protocol.BlockInfo {
+	if partCount == 0 {
+		return [][]protocol.BlockInfo{blocks}
+	}
+	count := len(blocks)
+	chunkSize := (count + partCount - 1) / partCount
+	parts := make([][]protocol.BlockInfo, 0, partCount)
+	for i := 0; i < count; i += chunkSize {
+		end := i + chunkSize
+		if end > count {
+			end = count
+		}
+		parts = append(parts, blocks[i:end])
+	}
+	return parts
+}
diff --git a/lib/model/blockpullreorderer_test.go b/lib/model/blockpullreorderer_test.go
new file mode 100644
index 000000000..f5cc7b4e5
--- /dev/null
+++ b/lib/model/blockpullreorderer_test.go
@@ -0,0 +1,105 @@
+// Copyright (C) 2020 The Syncthing Authors.
+//
+// This Source Code Form is subject to the terms of the Mozilla Public
+// License, v. 2.0. If a copy of the MPL was not distributed with this file,
+// You can obtain one at https://mozilla.org/MPL/2.0/.
+
+package model
+
+import (
+	"github.com/syncthing/syncthing/lib/protocol"
+	"reflect"
+	"sort"
+	"testing"
+)
+
+var (
+	someBlocks = []protocol.BlockInfo{{Offset: 1}, {Offset: 2}, {Offset: 3}}
+)
+
+func Test_chunk(t *testing.T) {
+	type args struct {
+		blocks    []protocol.BlockInfo
+		partCount int
+	}
+	tests := []struct {
+		name string
+		args args
+		want [][]protocol.BlockInfo
+	}{
+		{"one", args{someBlocks, 1}, [][]protocol.BlockInfo{someBlocks}},
+		{"two", args{someBlocks, 2}, [][]protocol.BlockInfo{someBlocks[:2], someBlocks[2:]}},
+		{"three", args{someBlocks, 3}, [][]protocol.BlockInfo{someBlocks[:1], someBlocks[1:2], someBlocks[2:]}},
+		{"four", args{someBlocks, 4}, [][]protocol.BlockInfo{someBlocks[:1], someBlocks[1:2], someBlocks[2:]}},
+		// Never happens as myIdx would be -1, so we'd return in order.
+		{"zero", args{someBlocks, 0}, [][]protocol.BlockInfo{someBlocks}},
+		{"empty-one", args{nil, 1}, [][]protocol.BlockInfo{}},
+		{"empty-zero", args{nil, 0}, [][]protocol.BlockInfo{nil}},
+	}
+	for _, tt := range tests {
+		t.Run(tt.name, func(t *testing.T) {
+			if got := chunk(tt.args.blocks, tt.args.partCount); !reflect.DeepEqual(got, tt.want) {
+				t.Errorf("chunk() = %v, want %v", got, tt.want)
+			}
+		})
+	}
+}
+
+func Test_inOrderBlockPullReorderer_Reorder(t *testing.T) {
+	type args struct {
+		blocks []protocol.BlockInfo
+	}
+	tests := []struct {
+		name   string
+		blocks []protocol.BlockInfo
+		want   []protocol.BlockInfo
+	}{
+		{"basic", someBlocks, someBlocks},
+	}
+	for _, tt := range tests {
+		t.Run(tt.name, func(t *testing.T) {
+			in := inOrderBlockPullReorderer{}
+			if got := in.Reorder(tt.blocks); !reflect.DeepEqual(got, tt.want) {
+				t.Errorf("Reorder() = %v, want %v", got, tt.want)
+			}
+		})
+	}
+}
+
+func Test_standardBlockPullReorderer_Reorder(t *testing.T) {
+	// Order the devices, so we know their ordering ahead of time.
+	devices := []protocol.DeviceID{myID, device1, device2}
+	sort.Slice(devices, func(i, j int) bool {
+		return devices[i].Compare(devices[j]) == -1
+	})
+
+	blocks := func(i ...int) []protocol.BlockInfo {
+		b := make([]protocol.BlockInfo, 0, len(i))
+		for _, v := range i {
+			b = append(b, protocol.BlockInfo{Offset: int64(v)})
+		}
+		return b
+	}
+	tests := []struct {
+		name    string
+		myId    protocol.DeviceID
+		devices []protocol.DeviceID
+		blocks  []protocol.BlockInfo
+		want    []protocol.BlockInfo
+	}{
+		{"front", devices[0], []protocol.DeviceID{devices[1], devices[2]}, blocks(1, 2, 3), blocks(1, 2, 3)},
+		{"back", devices[2], []protocol.DeviceID{devices[0], devices[1]}, blocks(1, 2, 3), blocks(3, 1, 2)},
+		{"few-blocks", devices[2], []protocol.DeviceID{devices[0], devices[1]}, blocks(1), blocks(1)},
+		{"more-than-one-block", devices[1], []protocol.DeviceID{devices[0]}, blocks(1, 2, 3, 4), blocks(3, 4, 1, 2)},
+		{"empty-blocks", devices[0], []protocol.DeviceID{devices[1]}, blocks(), blocks()},
+	}
+	for _, tt := range tests {
+		t.Run(tt.name, func(t *testing.T) {
+			p := newStandardBlockPullReorderer(tt.myId, tt.devices)
+			p.shuffle = func(i interface{}) {} // Noop shuffle
+			if got := p.Reorder(tt.blocks); !reflect.DeepEqual(got, tt.want) {
+				t.Errorf("reorderBlocksForDevices() = %v, want %v (my idx: %d, count %d)", got, tt.want, p.myIndex, p.count)
+			}
+		})
+	}
+}
diff --git a/lib/model/folder_sendrecv.go b/lib/model/folder_sendrecv.go
index 54bd7cf0a..c6a178773 100644
--- a/lib/model/folder_sendrecv.go
+++ b/lib/model/folder_sendrecv.go
@@ -25,7 +25,6 @@ import (
 	"github.com/syncthing/syncthing/lib/ignore"
 	"github.com/syncthing/syncthing/lib/osutil"
 	"github.com/syncthing/syncthing/lib/protocol"
-	"github.com/syncthing/syncthing/lib/rand"
 	"github.com/syncthing/syncthing/lib/scanner"
 	"github.com/syncthing/syncthing/lib/sha256"
 	"github.com/syncthing/syncthing/lib/sync"
@@ -104,8 +103,9 @@ type sendReceiveFolder struct {
 	fs        fs.Filesystem
 	versioner versioner.Versioner
 
-	queue        *jobQueue
-	writeLimiter *byteSemaphore
+	queue              *jobQueue
+	blockPullReorderer blockPullReorderer
+	writeLimiter       *byteSemaphore
 
 	pullErrors    map[string]string // errors for most recent/current iteration
 	oldPullErrors map[string]string // errors from previous iterations for log filtering only
@@ -114,12 +114,13 @@ type sendReceiveFolder struct {
 
 func newSendReceiveFolder(model *model, fset *db.FileSet, ignores *ignore.Matcher, cfg config.FolderConfiguration, ver versioner.Versioner, fs fs.Filesystem, evLogger events.Logger, ioLimiter *byteSemaphore) service {
 	f := &sendReceiveFolder{
-		folder:        newFolder(model, fset, ignores, cfg, evLogger, ioLimiter),
-		fs:            fs,
-		versioner:     ver,
-		queue:         newJobQueue(),
-		writeLimiter:  newByteSemaphore(cfg.MaxConcurrentWrites),
-		pullErrorsMut: sync.NewMutex(),
+		folder:             newFolder(model, fset, ignores, cfg, evLogger, ioLimiter),
+		fs:                 fs,
+		versioner:          ver,
+		queue:              newJobQueue(),
+		blockPullReorderer: newBlockPullReorderer(cfg.BlockPullOrder, model.id, cfg.DeviceIDs()),
+		writeLimiter:       newByteSemaphore(cfg.MaxConcurrentWrites),
+		pullErrorsMut:      sync.NewMutex(),
 	}
 	f.folder.puller = f
 	f.folder.Service = util.AsService(f.serve, f.String())
@@ -1071,8 +1072,8 @@ func (f *sendReceiveFolder) handleFile(file protocol.FileInfo, snap *db.Snapshot
 		blocks = append(blocks, file.Blocks...)
 	}
 
-	// Shuffle the blocks
-	rand.Shuffle(blocks)
+	// Reorder blocks
+	blocks = f.blockPullReorderer.Reorder(blocks)
 
 	f.evLogger.Log(events.ItemStarted, map[string]string{
 		"folder": f.folderID,