diff --git a/test/KSXVault.t.sol b/test/KSXVault.t.sol
index 3eb7414..73dc905 100644
--- a/test/KSXVault.t.sol
+++ b/test/KSXVault.t.sol
@@ -317,4 +317,91 @@ contract KSXVaultAuctionTest is KSXVaultTest {
         ksxVault.setEpochDuration(2 weeks);
     }
 
+    /*//////////////////////////////////////////////////////////////
+                            FUZZ START TIME
+    //////////////////////////////////////////////////////////////*/
+
+    function testFuzzStartTime_createAuction(uint128 startTime) public {
+        fuzzStartTime(startTime);
+        test_createAuction();
+    }
+
+    function testFuzzStartTime_createAuction_AuctionNotReady(uint128 startTime) public {
+        fuzzStartTime(startTime);
+        test_createAuction_AuctionNotReady();
+    }
+
+    function testFuzzStartTime_isAuctionReady(uint128 startTime) public {
+        fuzzStartTime(startTime);
+        test_isAuctionReady();
+    }
+
+    function testFuzzStartTime_isAuctionReady_before_start(uint128 startTime) public {
+        fuzzStartTime(startTime);
+        test_isAuctionReady_before_start();
+    }
+
+    function testFuzzStartTime_isAuctionReady_before_start_fuzz(uint128 startTime) public {
+        fuzzStartTime(startTime);
+        test_isAuctionReady_before_start_fuzz(startTime);
+    }
+
+    function testFuzzStartTime_isAuctionReady_next_week(uint128 startTime) public {
+        fuzzStartTime(startTime);
+        test_isAuctionReady_next_week();
+    }
+
+    function testFuzzStartTime_isAuctionReady_set_one_day(uint128 startTime) public {
+        fuzzStartTime(startTime);
+        test_isAuctionReady_set_one_day();
+    }
+
+    function testFuzzStartTime_isAuctionReady_set_one_day_then_4_weeks(uint128 startTime) public {
+        fuzzStartTime(startTime);
+        test_isAuctionReady_set_one_day_then_4_weeks();
+    }
+
+    function testFuzzStartTime_setEpochDuration(uint128 startTime) public {
+        fuzzStartTime(startTime);
+        test_setEpochDuration();
+    }
+
+    function testFuzzStartTime_setEpochDuration_Invalid(uint128 startTime) public {
+        fuzzStartTime(startTime);
+        test_setEpochDuration_Invalid();
+    }
+
+    function testFuzzStartTime_setEpochDuration_before_start(uint128 startTime) public {
+        fuzzStartTime(startTime);
+        test_setEpochDuration_before_start();
+    }
+
+    function testFuzzStartTime_setEpochDuration_fuzz(uint128 startTime, uint256 duration) public {
+        fuzzStartTime(startTime);
+        test_setEpochDuration_fuzz(duration);
+    }
+
+    function testFuzzStartTime_setEpochDuration_onlyOwner(uint128 startTime) public {
+        fuzzStartTime(startTime);
+        test_setEpochDuration_onlyOwner();
+    }
+
+    /*//////////////////////////////////////////////////////////////
+                                HELPERS
+    //////////////////////////////////////////////////////////////*/
+
+    function fuzzStartTime(uint128 startTime) public {
+        DEFAULT_START_TIME = DEFAULT_START_TIME + startTime;
+        initializeLocal(
+            address(depositToken),
+            address(mockUSDC),
+            address(stakingRewards),
+            address(auctionFactory),
+            DECIMAL_OFFSET,
+            DEFAULT_START_TIME,
+            DEFAULT_EPOCH_DURATION,
+            DEFAULT_START_TIME
+        );
+    }
+
 }
diff --git a/test/utils/Bootstrap.sol b/test/utils/Bootstrap.sol
index c2a9a20..6695e0b 100644
--- a/test/utils/Bootstrap.sol
+++ b/test/utils/Bootstrap.sol
@@ -21,6 +21,11 @@ contract Bootstrap is Test, Constants {
     // decimal offset
     uint256 public decimalsOffset;
 
+    /// @dev DEFAULT_START_TIME has to be > MAX_EPOCH_DURATION
+    /// to avoid issues with the tests (underflow)
+    /// @dev this is not a constant so the tests can change it
+    uint256 internal DEFAULT_START_TIME = 6 weeks;
+
     // deployed contracts
     KSXVault internal ksxVault;
 
diff --git a/test/utils/Constants.sol b/test/utils/Constants.sol
index 3bda0fc..6c837b1 100644
--- a/test/utils/Constants.sol
+++ b/test/utils/Constants.sol
@@ -12,10 +12,6 @@ contract Constants {
 
     uint256 internal constant TEST_VALUE = 100 ether;
 
-    /// @dev DEFAULT_START_TIME has to be > MAX_EPOCH_DURATION
-    /// to avoid issues with the tests (underflow)
-    uint256 internal constant DEFAULT_START_TIME = 6 weeks;
-
     uint256 internal constant DEFAULT_EPOCH_DURATION = 1 weeks;
 
     uint256 internal constant MIN_EPOCH_DURATION = 1 days;