diff --git a/docs/CHANGELOG.md b/docs/CHANGELOG.md
index 86372ae43..a4e868465 100644
--- a/docs/CHANGELOG.md
+++ b/docs/CHANGELOG.md
@@ -10,6 +10,7 @@
 * FEATURE: vmauth: allow using regexp paths in `url_map`. See [this issue](https://github.com/VictoriaMetrics/VictoriaMetrics/issues/1112) for details.
 
 * BUGFIX: vmagent: reduce memory usage when Kubernetes service discovery is used in big number of distinct jobs by sharing the cache. See https://github.com/VictoriaMetrics/VictoriaMetrics/issues/1113
+* BUGFIX: prevent exponent overflow when processing extremely small values close to zero such as `2.964393875E-314`. See https://github.com/VictoriaMetrics/VictoriaMetrics/issues/1114
 
 
 # [v1.55.1](https://github.com/VictoriaMetrics/VictoriaMetrics/releases/tag/v1.55.1)
diff --git a/lib/decimal/decimal.go b/lib/decimal/decimal.go
index 84304fefe..9b75814cd 100644
--- a/lib/decimal/decimal.go
+++ b/lib/decimal/decimal.go
@@ -456,6 +456,13 @@ func positiveFloatToDecimalSlow(f float64) (int64, int16) {
 			prec = 1e15
 		}
 		_, exp := math.Frexp(f)
+		// Bound the exponent according to https://en.wikipedia.org/wiki/Double-precision_floating-point_format
+		// This fixes the issue https://github.com/VictoriaMetrics/VictoriaMetrics/issues/1114
+		if exp < -1022 {
+			exp = -1022
+		} else if exp > 1023 {
+			exp = 1023
+		}
 		scale = int16(float64(exp) * (math.Ln2 / math.Ln10))
 		f *= math.Pow10(-int(scale))
 	}
diff --git a/lib/decimal/decimal_test.go b/lib/decimal/decimal_test.go
index f6a94ea97..5bc177d64 100644
--- a/lib/decimal/decimal_test.go
+++ b/lib/decimal/decimal_test.go
@@ -95,6 +95,20 @@ func TestPositiveFloatToDecimal(t *testing.T) {
 	f(0.001130435, 1130435, -9)
 	f(vInfPos, 9223372036854775, 3)
 	f(vMax, 9223372036854775, 3)
+
+	// Extreme cases. See https://github.com/VictoriaMetrics/VictoriaMetrics/issues/1114
+	f(2.964393875e-100, 2964393875, -109)
+	f(2.964393875e-309, 2964393875, -318)
+	f(2.964393875e-314, 296439387505, -325)
+	f(2.964393875e-315, 2964393875047, -327)
+	f(2.964393875e-320, 296439387505, -331)
+	f(2.964393875e-324, 494065645841, -335)
+	f(2.964393875e-325, 0, 1)
+
+	f(2.964393875e+307, 2964393875, 298)
+	f(9.964393875e+307, 9964393875, 298)
+	f(1.064393875e+308, 1064393875, 299)
+	f(1.797393875e+308, 1797393875, 299)
 }
 
 func TestAppendDecimalToFloat(t *testing.T) {