diff --git a/src/Encoding/MicrosecondBasedDateConversion.php b/src/Encoding/MicrosecondBasedDateConversion.php
index 0f10cf0b..c8fc68c8 100644
--- a/src/Encoding/MicrosecondBasedDateConversion.php
+++ b/src/Encoding/MicrosecondBasedDateConversion.php
@@ -25,16 +25,13 @@ public function formatClaims(array $claims): array
         return $claims;
     }
 
-    /** @return int|string */
+    /** @return int|float */
     private function convertDate(DateTimeImmutable $date)
     {
-        $seconds      = $date->format('U');
-        $microseconds = $date->format('u');
-
-        if ((int) $microseconds === 0) {
-            return (int) $seconds;
+        if ($date->format('u') === '000000') {
+            return (int) $date->format('U');
         }
 
-        return $seconds . '.' . $microseconds;
+        return (float) $date->format('U.u');
     }
 }
diff --git a/src/Token/Parser.php b/src/Token/Parser.php
index 2d3ac688..530a727c 100644
--- a/src/Token/Parser.php
+++ b/src/Token/Parser.php
@@ -12,8 +12,12 @@
 use function count;
 use function explode;
 use function is_array;
+use function is_string;
+use function json_encode;
 use function strpos;
 
+use const JSON_THROW_ON_ERROR;
+
 final class Parser implements ParserInterface
 {
     private Decoder $decoder;
@@ -105,7 +109,9 @@ private function parseClaims(string $data): array
                 continue;
             }
 
-            $claims[$claim] = $this->convertDate((string) $claims[$claim]);
+            $date = $claims[$claim];
+
+            $claims[$claim] = $this->convertDate(is_string($date) ? $date : json_encode($date, JSON_THROW_ON_ERROR));
         }
 
         return $claims;
diff --git a/test/functional/TimeFractionPrecisionTest.php b/test/functional/TimeFractionPrecisionTest.php
new file mode 100644
index 00000000..4cb0534d
--- /dev/null
+++ b/test/functional/TimeFractionPrecisionTest.php
@@ -0,0 +1,61 @@
+<?php
+declare(strict_types=1);
+
+namespace Lcobucci\JWT\FunctionalTests;
+
+use DateTimeImmutable;
+use Lcobucci\JWT\Configuration;
+use Lcobucci\JWT\Token\Plain;
+use PHPUnit\Framework\TestCase;
+
+/**
+ * @covers \Lcobucci\JWT\Configuration
+ * @covers \Lcobucci\JWT\Encoding\JoseEncoder
+ * @covers \Lcobucci\JWT\Encoding\ChainedFormatter
+ * @covers \Lcobucci\JWT\Encoding\MicrosecondBasedDateConversion
+ * @covers \Lcobucci\JWT\Encoding\UnifyAudience
+ * @covers \Lcobucci\JWT\Token\Builder
+ * @covers \Lcobucci\JWT\Token\Parser
+ * @covers \Lcobucci\JWT\Token\Plain
+ * @covers \Lcobucci\JWT\Token\DataSet
+ * @covers \Lcobucci\JWT\Token\Signature
+ * @covers \Lcobucci\JWT\Signer\Key\InMemory
+ * @covers \Lcobucci\JWT\Signer\None
+ * @covers \Lcobucci\JWT\Validation\Validator
+ * @covers \Lcobucci\JWT\Validation\RequiredConstraintsViolated
+ * @covers \Lcobucci\JWT\Validation\Constraint\SignedWith
+ */
+final class TimeFractionPrecisionTest extends TestCase
+{
+    /**
+     * @test
+     * @dataProvider datesWithPotentialRoundingIssues
+     */
+    public function timeFractionsPrecisionsAreRespected(string $timeFraction): void
+    {
+        $config = Configuration::forUnsecuredSigner();
+
+        $issuedAt = DateTimeImmutable::createFromFormat('U.u', $timeFraction);
+
+        self::assertInstanceOf(DateTimeImmutable::class, $issuedAt);
+        self::assertSame($timeFraction, $issuedAt->format('U.u'));
+
+        $token = $config->builder()
+            ->issuedAt($issuedAt)
+            ->getToken($config->signer(), $config->signingKey());
+
+        $parsedToken = $config->parser()->parse($token->toString());
+
+        self::assertInstanceOf(Plain::class, $parsedToken);
+        self::assertSame($timeFraction, $parsedToken->claims()->get('iat')->format('U.u'));
+    }
+
+    /** @return iterable<string[]> */
+    public function datesWithPotentialRoundingIssues(): iterable
+    {
+        yield ['1613938511.017448'];
+        yield ['1613938511.023691'];
+        yield ['1613938511.018045'];
+        yield ['1616074725.008455'];
+    }
+}
diff --git a/test/unit/Encoding/ChainedFormatterTest.php b/test/unit/Encoding/ChainedFormatterTest.php
index 3d2a856f..061999d7 100644
--- a/test/unit/Encoding/ChainedFormatterTest.php
+++ b/test/unit/Encoding/ChainedFormatterTest.php
@@ -34,6 +34,6 @@ public function formatClaimsShouldApplyAllConfiguredFormatters(): void
         $formatted = $formatter->formatClaims($claims);
 
         self::assertSame('test', $formatted[RegisteredClaims::AUDIENCE]);
-        self::assertSame('1487285080.123456', $formatted[RegisteredClaims::EXPIRATION_TIME]);
+        self::assertSame(1487285080.123456, $formatted[RegisteredClaims::EXPIRATION_TIME]);
     }
 }
diff --git a/test/unit/Encoding/MicrosecondBasedDateConversionTest.php b/test/unit/Encoding/MicrosecondBasedDateConversionTest.php
index 838cba0f..4be0c6b5 100644
--- a/test/unit/Encoding/MicrosecondBasedDateConversionTest.php
+++ b/test/unit/Encoding/MicrosecondBasedDateConversionTest.php
@@ -36,8 +36,8 @@ public function dateClaimsHaveMicrosecondsOrSeconds(): void
         $formatted = $formatter->formatClaims($claims);
 
         self::assertSame(1487285080, $formatted[RegisteredClaims::ISSUED_AT]);
-        self::assertSame('1487285080.000123', $formatted[RegisteredClaims::NOT_BEFORE]);
-        self::assertSame('1487285080.123456', $formatted[RegisteredClaims::EXPIRATION_TIME]);
+        self::assertSame(1487285080.000123, $formatted[RegisteredClaims::NOT_BEFORE]);
+        self::assertSame(1487285080.123456, $formatted[RegisteredClaims::EXPIRATION_TIME]);
         self::assertSame('test', $formatted['testing']); // this should remain untouched
     }
 
@@ -62,7 +62,7 @@ public function notAllDateClaimsNeedToBeConfigured(): void
         $formatted = $formatter->formatClaims($claims);
 
         self::assertSame(1487285080, $formatted[RegisteredClaims::ISSUED_AT]);
-        self::assertSame('1487285080.123456', $formatted[RegisteredClaims::EXPIRATION_TIME]);
+        self::assertSame(1487285080.123456, $formatted[RegisteredClaims::EXPIRATION_TIME]);
         self::assertSame('test', $formatted['testing']); // this should remain untouched
     }
 }
diff --git a/test/unit/Token/ParserTest.php b/test/unit/Token/ParserTest.php
index 95da07b9..5c1bf90c 100644
--- a/test/unit/Token/ParserTest.php
+++ b/test/unit/Token/ParserTest.php
@@ -453,7 +453,7 @@ public function parseMustConvertDateClaimsToObjects(): void
     {
         $data = [
             RegisteredClaims::ISSUED_AT => 1486930663,
-            RegisteredClaims::EXPIRATION_TIME => '1486930757.023055',
+            RegisteredClaims::EXPIRATION_TIME => 1486930757.023055,
         ];
 
         $this->decoder->expects(self::exactly(2))