connection.go          | 8 +++++---
 download_strategies.go | 2 +-

diff --git a/connection.go b/connection.go
index ea4295dee483d14be9e9d3bc25a4abaf57e8f4cf..f8855aeedc7ddbfdae43dea235ad0948b9d2eea3 100644
--- a/connection.go
+++ b/connection.go
@@ -47,9 +47,10 @@ 	completedHandshake      time.Time
 	lastUsefulChunkReceived time.Time
 
 	// Stuff controlled by the local peer.
-	Interested bool
-	Choked     bool
-	Requests   map[request]struct{}
+	Interested       bool
+	Choked           bool
+	Requests         map[request]struct{}
+	requestsLowWater int
 
 	// Stuff controlled by the remote peer.
 	PeerID             [20]byte
@@ -248,6 +249,7 @@ 	if c.Requests == nil {
 		c.Requests = make(map[request]struct{}, c.PeerMaxRequests)
 	}
 	c.Requests[chunk] = struct{}{}
+	c.requestsLowWater = len(c.Requests) / 2
 	c.Post(pp.Message{
 		Type:   pp.Request,
 		Index:  chunk.Index,
diff --git a/download_strategies.go b/download_strategies.go
index 572eadba3ccbd6ca78a66bde7541e4cd12fa3bb2..d3f38e98e4a70ad931936a81bcac53e22c65969d 100644
--- a/download_strategies.go
+++ b/download_strategies.go
@@ -38,7 +38,7 @@ 	if c.Interested {
 		if c.PeerChoked {
 			return
 		}
-		if len(c.Requests) != 0 {
+		if len(c.Requests) > c.requestsLowWater {
 			return
 		}
 	}