diff --git a/processor.go b/processor.go
index 36bc097..9845e73 100644
--- a/processor.go
+++ b/processor.go
@@ -3,6 +3,7 @@ package asynq
 import (
 	"fmt"
 	"log"
+	"math/rand"
 	"sync"
 	"time"
 
@@ -17,11 +18,6 @@ type processor struct {
 
 	retryDelayFunc retryDelayFunc
 
-	// timeout for blocking dequeue operation.
-	// dequeue needs to timeout to avoid blocking forever
-	// in case of a program shutdown or additon of a new queue.
-	dequeueTimeout time.Duration
-
 	// sema is a counting semaphore to ensure the number of active workers
 	// does not exceed the limit.
 	sema chan struct{}
@@ -44,7 +40,6 @@ func newProcessor(r *rdb.RDB, n int, fn retryDelayFunc) *processor {
 	return &processor{
 		rdb:            r,
 		retryDelayFunc: fn,
-		dequeueTimeout: 2 * time.Second,
 		sema:           make(chan struct{}, n),
 		done:           make(chan struct{}),
 		abort:          make(chan struct{}),
@@ -102,8 +97,7 @@ func (p *processor) start() {
 // exec pulls a task out of the queue and starts a worker goroutine to
 // process the task.
 func (p *processor) exec() {
-	// TODO(hibiken): sort the queues based on weight, but prevent starvation
-	msg, err := p.rdb.Dequeue(base.HighPriorityQueue, base.DefaultQueue, base.LowPriorityQueue)
+	msg, err := p.rdb.Dequeue(weightedQueues()...)
 	if err == rdb.ErrNoProcessableTask {
 		// queues are empty, this is a normal behavior.
 		return
@@ -206,3 +200,49 @@ func perform(h Handler, task *Task) (err error) {
 	}()
 	return h.ProcessTask(task)
 }
+
+// weightedQueues returns a list of redis queue key to query
+// order is roughly based on the weight, it's randomized to
+// prevent starvation.
+//
+// For example, if weight distribution is
+// high = 6, default = 3, low = 1
+// then high priority tasks will get processed first 60% of the time,
+// and default priority task will get processed first 30% of the time,
+// and low priority task will get processed first 10% of the time
+func weightedQueues() []string {
+	const numOfQueues = 3
+	const (
+		highWeight    = 6
+		defaultWeight = 3
+		lowWeight     = 1
+	)
+	queues := make([]string, 10)
+	for i := 0; i < highWeight; i++ {
+		queues[i] = base.HighPriorityQueue
+	}
+	for i := highWeight; i < highWeight+defaultWeight; i++ {
+		queues[i] = base.DefaultQueue
+	}
+	for i := highWeight + defaultWeight; i < highWeight+defaultWeight+lowWeight; i++ {
+		queues[i] = base.LowPriorityQueue
+	}
+	rnd := rand.New(rand.NewSource(time.Now().UnixNano()))
+	rnd.Shuffle(len(queues), func(i, j int) {
+		queues[i], queues[j] = queues[j], queues[i]
+	})
+
+	var unique []string
+	seen := make(map[string]struct{})
+
+	for _, q := range queues {
+		if _, ok := seen[q]; !ok {
+			unique = append(unique, q)
+		}
+		seen[q] = struct{}{}
+		if len(unique) == numOfQueues {
+			break
+		}
+	}
+	return unique
+}
diff --git a/processor_test.go b/processor_test.go
index b23daae..84dc0c6 100644
--- a/processor_test.go
+++ b/processor_test.go
@@ -2,6 +2,7 @@ package asynq
 
 import (
 	"fmt"
+	"sort"
 	"sync"
 	"testing"
 	"time"
@@ -61,7 +62,6 @@ func TestProcessorSuccess(t *testing.T) {
 		}
 		p := newProcessor(rdbClient, 10, defaultDelayFunc)
 		p.handler = HandlerFunc(handler)
-		p.dequeueTimeout = time.Second // short time out for test purpose
 
 		p.start()
 		for _, msg := range tc.incoming {
@@ -145,7 +145,6 @@ func TestProcessorRetry(t *testing.T) {
 		}
 		p := newProcessor(rdbClient, 10, delayFunc)
 		p.handler = HandlerFunc(handler)
-		p.dequeueTimeout = time.Second // short time out for test purpose
 
 		p.start()
 		for _, msg := range tc.incoming {
@@ -219,3 +218,24 @@ func TestPerform(t *testing.T) {
 		}
 	}
 }
+
+func TestWeightedQueues(t *testing.T) {
+	want := []string{base.HighPriorityQueue, base.DefaultQueue, base.LowPriorityQueue}
+
+	got := weightedQueues()
+
+	sortOpt := cmp.Transformer("SortString", func(in []string) []string {
+		out := append([]string(nil), in...) // Copy input to avoid mutating it
+		sort.Strings(out)
+		return out
+	})
+	if diff := cmp.Diff(want, got, sortOpt); diff != "" {
+		t.Errorf("weightedQueues = %v, want %v; (-want,+got):\n%s", got, want, diff)
+	}
+}
+
+func BenchmarkWeightedQueues(b *testing.B) {
+	for i := 0; i < b.N; i++ {
+		weightedQueues()
+	}
+}