diff --git a/robustsession/robustsession.go b/robustsession/robustsession.go
index c84d6fd..81142ea 100644
--- a/robustsession/robustsession.go
+++ b/robustsession/robustsession.go
@@ -95,9 +95,10 @@ func CopyNetworks() []*Network {
 // This type is only exported so that you can expose internal network state
 // for debugging via CopyNetworks().
 type Network struct {
-	servers []string
-	mu      sync.RWMutex
-	backoff map[string]backoffState
+	servers   []string
+	idxOffset int
+	mu        sync.RWMutex
+	backoff   map[string]backoffState
 }
 
 func (n *Network) String() string {
@@ -112,9 +113,9 @@ func (n *Network) String() string {
 		}
 		lines = append(lines, fmt.Sprintf("\tserver %v (backoff: next possible reconnect: %v)", srv, reconnect))
 	}
-	return fmt.Sprintf("[network %p with %d servers]\n",
-		n,
-		len(n.servers)) + strings.Join(lines, "\n")
+	return fmt.Sprintf("[network %p with %d servers]\n", n, len(n.servers)) +
+		fmt.Sprintf("index offset to the next server=%v\n", n.idxOffset) +
+		strings.Join(lines, "\n")
 }
 
 func newNetwork(networkname string) (*Network, error) {
@@ -166,8 +167,9 @@ func newNetwork(networkname string) (*Network, error) {
 	}
 
 	return &Network{
-		servers: servers,
-		backoff: make(map[string]backoffState),
+		servers:   servers,
+		idxOffset: 0,
+		backoff:   make(map[string]backoffState),
 	}, nil
 }
 
@@ -180,7 +182,8 @@ func (n *Network) server(random bool) string {
 
 	for {
 		soonest := time.Duration(math.MaxInt64)
-		// Try to use a random server, but fall back to using the next
+
+		// If random, try to use a random server, but fall back to using the next
 		// available server in case the randomly picked server is unhealthy.
 		if random {
 			server := n.servers[rand.Intn(len(n.servers))]
@@ -189,10 +192,14 @@ func (n *Network) server(random bool) string {
 				return server
 			}
 		}
-		for _, server := range n.servers {
-			wait := n.backoff[server].next.Sub(time.Now())
+		// Try to use the next available server, searching in offset order
+		// (modified round robin).
+		for i := 0; i < len(n.servers); i++ {
+			idx := (i + n.idxOffset) % len(n.servers)
+			wait := n.backoff[n.servers[idx]].next.Sub(time.Now())
 			if wait <= 0 {
-				return server
+				n.idxOffset = (idx + 1) % len(n.servers)
+				return n.servers[idx]
 			}
 			if wait < soonest {
 				soonest = wait
@@ -212,6 +219,7 @@ func (n *Network) setServers(servers []string) {
 
 	// TODO(secure): we should clean up n.backoff from servers which no longer exist
 	n.servers = servers
+	n.idxOffset = 0
 }
 
 // prefer moves (or adds, if it doesn't already exist) the specified server to
@@ -229,6 +237,7 @@ func (n *Network) prefer(server string) {
 		}
 	}
 	n.servers = servers
+	n.idxOffset = 0
 }
 
 func (n *Network) failed(server string) {