diff --git a/packages/web3-utils/src/converters.ts b/packages/web3-utils/src/converters.ts
index 55143a4277c..a452b81a4b2 100644
--- a/packages/web3-utils/src/converters.ts
+++ b/packages/web3-utils/src/converters.ts
@@ -492,8 +492,16 @@ export const toBigInt = (value: unknown): bigint => {
  * > 0.000000001
  * ```
  */
-export const fromWei = (number: Numbers, unit: EtherUnits): string => {
-	const denomination = ethUnitMap[unit];
+export const fromWei = (number: Numbers, unit: EtherUnits | number): string => {
+	let denomination;
+	if (typeof unit === 'string') {
+		denomination = ethUnitMap[unit];
+	} else {
+		if (unit <= 0 && !Number.isInteger(unit)) {
+			throw new InvalidUnitError(unit);
+		}
+		denomination = BigInt(10)**BigInt(unit);
+	}
 
 	if (!denomination) {
 		throw new InvalidUnitError(unit);
@@ -550,10 +558,18 @@ export const fromWei = (number: Numbers, unit: EtherUnits): string => {
  * ```
  */
 // todo in 1.x unit defaults to 'ether'
-export const toWei = (number: Numbers, unit: EtherUnits): string => {
+export const toWei = (number: Numbers, unit: EtherUnits | number): string => {
 	validator.validate(['number'], [number]);
 
-	const denomination = ethUnitMap[unit];
+	let denomination;
+	if (typeof unit === 'string') {
+		denomination = ethUnitMap[unit];
+	} else {
+		if (unit < 0 && !Number.isInteger(unit)) {
+			throw new InvalidUnitError(unit);
+		}
+		denomination = BigInt(10)**BigInt(unit);
+	}
 
 	if (!denomination) {
 		throw new InvalidUnitError(unit);
diff --git a/packages/web3-utils/test/fixtures/converters.ts b/packages/web3-utils/test/fixtures/converters.ts
index 91f3a76f738..43b89a71481 100644
--- a/packages/web3-utils/test/fixtures/converters.ts
+++ b/packages/web3-utils/test/fixtures/converters.ts
@@ -256,7 +256,7 @@ export const toHexInvalidData: [any, string][] = [
 	[undefined, 'Invalid value given "undefined". Error: can not be converted to hex.'],
 ];
 
-const conversionBaseData: [[Numbers, EtherUnits], string][] = [
+const conversionBaseData: [[Numbers, EtherUnits | number], string][] = [
 	[[0, 'wei'], '0'],
 	[[123, 'wei'], '123'],
 	[['123', 'wei'], '123'],
@@ -290,9 +290,18 @@ const conversionBaseData: [[Numbers, EtherUnits], string][] = [
 	[['178373938391829348', 'ether'], '0.178373938391829348'],
 	[['879123456788877661', 'gwei'], '879123456.788877661'],
 	[['879123456788877661', 'tether'], '0.000000000000879123456788877661'],
+	[['1', 3], '0.001'],
+	[['1', 4], '0.0001'],
+	[['1', 5], '0.00001'],
+	[['1', 6], '0.000001'],
+	[['1', 7], '0.0000001'],
+	[['1', 8], '0.00000001'],
+	[['1', 9], '0.000000001'],
+	[['1', 10], '0.0000000001'],
+	[['1000000000000000000', 18], '1'],
 ];
 
-export const fromWeiValidData: [[Numbers, EtherUnits], string][] = [
+export const fromWeiValidData: [[Numbers, EtherUnits | number], string][] = [
 	...conversionBaseData,
     [['0xff', 'wei'], '255'],
     [[1e+22, 'ether'], '10000'],
@@ -300,7 +309,7 @@ export const fromWeiValidData: [[Numbers, EtherUnits], string][] = [
     [[1.9999999999999991611392e+22, 'ether'], '19999.999999999991611392'],
 ];
 
-export const toWeiValidData: [[Numbers, EtherUnits], Numbers][] = [
+export const toWeiValidData: [[Numbers, EtherUnits | number], Numbers][] = [
 	...conversionBaseData,
 	[['255', 'wei'], '0xFF'],
 	[['100000000000', 'ether'], 0.0000001],