diff --git a/daemon/oci_windows.go b/daemon/oci_windows.go
index 85e2a9bc14..b00c714bd1 100644
--- a/daemon/oci_windows.go
+++ b/daemon/oci_windows.go
@@ -92,6 +92,11 @@ func (daemon *Daemon) createSpec(c *container.Container) (*specs.Spec, error) {
 			}
 		} else {
 			cpuPercent = uint8(c.HostConfig.NanoCPUs * 100 / int64(sysinfo.NumCPU()) / 1e9)
+
+			if cpuPercent < 1 {
+				// The requested NanoCPUs is so small that we rounded to 0, use 1 instead
+				cpuPercent = 1
+			}
 		}
 	}
 	memoryLimit := uint64(c.HostConfig.Memory)