client.go  |  6 ++++--
 misc.go    | 15 ++++++++++++++-
 torrent.go |  4 ++++

diff --git a/client.go b/client.go
index e079881ab2b66d06cde800fc70cd49e21715dcee..e86a93a96df412566210be74e4eecd7675ba51d8 100644
--- a/client.go
+++ b/client.go
@@ -819,8 +819,10 @@ 		// Stop when we're onto untouched pieces.
 		if t.PieceNumPendingBytes(index) == t.PieceLength(index) {
 			break
 		}
-		for chunkSpec := range t.Pieces[index].PendingChunkSpecs {
-			if !c.Request(request{index, chunkSpec}) {
+		// Request chunks in random order to reduce overlap with other
+		// connections.
+		for _, cs := range t.Pieces[index].shuffledPendingChunkSpecs() {
+			if !c.Request(request{index, cs}) {
 				return
 			}
 		}
diff --git a/misc.go b/misc.go
index 2e5f02bb8a24c0c86fb3baae343ba06ea4c8cd5e..c53976fab111780ed960fa0e54e983c2b46c78ed 100644
--- a/misc.go
+++ b/misc.go
@@ -4,6 +4,7 @@ import (
 	"bitbucket.org/anacrolix/go.torrent/mmap_span"
 	"crypto"
 	"errors"
+	"math/rand"
 	"os"
 	"path/filepath"
 	"time"
@@ -15,7 +16,7 @@ )
 
 const (
 	pieceHash   = crypto.SHA1
-	maxRequests = 250 // Maximum pending requests we allow peers to send us.
+	maxRequests = 250        // Maximum pending requests we allow peers to send us.
 	chunkSize   = 0x4000     // 16KiB
 	BEP20       = "-GT0000-" // Peer ID client identifier prefix
 	dialTimeout = time.Second * 15
@@ -44,6 +45,18 @@ 	PendingChunkSpecs map[chunkSpec]struct{}
 	Hashing           bool
 	QueuedForHash     bool
 	EverHashed        bool
+}
+
+func (p *piece) shuffledPendingChunkSpecs() (css []chunkSpec) {
+	css = make([]chunkSpec, 0, len(p.PendingChunkSpecs))
+	for cs := range p.PendingChunkSpecs {
+		css = append(css, cs)
+	}
+	for i := range css {
+		j := rand.Intn(i + 1)
+		css[i], css[j] = css[j], css[i]
+	}
+	return
 }
 
 func (p *piece) Complete() bool {
diff --git a/torrent.go b/torrent.go
index dfe2431433e109cbda4dcc2114148f37704a5e63..cbb4cd3221cf9494eb158f57dfbb9fa70e6d067c 100644
--- a/torrent.go
+++ b/torrent.go
@@ -59,6 +59,10 @@ 	num += NumChunksForPiece(chunkSize, int(t.PieceLength(pp.Integer(t.NumPieces()-1))))
 	return
 }
 
+func (t *torrent) UsualPieceSize() int {
+	return int(t.MetaInfo.PieceLength)
+}
+
 func (t *torrent) LastPieceSize() int {
 	return int(t.PieceLength(pp.Integer(t.NumPieces() - 1)))
 }