diff --git a/web/api/v1/api.go b/web/api/v1/api.go
index 9c54f5973..0bd5096ff 100644
--- a/web/api/v1/api.go
+++ b/web/api/v1/api.go
@@ -1150,6 +1150,7 @@ func (api *API) respondError(w http.ResponseWriter, apiErr *apiError, data inter
 func parseTime(s string) (time.Time, error) {
 	if t, err := strconv.ParseFloat(s, 64); err == nil {
 		s, ns := math.Modf(t)
+		ns = math.Round(ns*1000) / 1000
 		return time.Unix(int64(s), int64(ns*float64(time.Second))), nil
 	}
 	if t, err := time.Parse(time.RFC3339Nano, s); err == nil {
diff --git a/web/api/v1/api_test.go b/web/api/v1/api_test.go
index 3e97f6a82..bdc6c2d64 100644
--- a/web/api/v1/api_test.go
+++ b/web/api/v1/api_test.go
@@ -1318,6 +1318,10 @@ func TestParseTime(t *testing.T) {
 		}, {
 			input:  "2015-06-03T14:21:58.555+01:00",
 			result: ts,
+		}, {
+			// Test float rounding.
+			input:  "1543578564.705",
+			result: time.Unix(1543578564, 705*1e6),
 		},
 	}