diff --git a/ranges/min-version.js b/ranges/min-version.js
index 09a65aa3..01d54c09 100644
--- a/ranges/min-version.js
+++ b/ranges/min-version.js
@@ -29,6 +29,12 @@ const minVersion = (range, loose) => {
         case '>':
           if (compver.prerelease.length === 0) {
             compver.patch++
+            // in includePrerelease mode the next patch's lowest prerelease
+            // (e.g. 1.0.1-0) also satisfies `>1.0.0` and is lower than 1.0.1,
+            // so it is the true minimum -- matching the prerelease `>` case below
+            if (range.includePrerelease) {
+              compver.prerelease.push(0)
+            }
           } else {
             compver.prerelease.push(0)
           }
diff --git a/test/ranges/min-version.js b/test/ranges/min-version.js
index eeb9b725..2e6eb6ee 100644
--- a/test/ranges/min-version.js
+++ b/test/ranges/min-version.js
@@ -64,6 +64,11 @@ test('minimum version in range tests', (t) => {
     ['>2 || >1.0.0-0', '1.0.0-0.0'],
     ['>2 || >1.0.0-beta', '1.0.0-beta.0'],
 
+    // includePrerelease: the lowest prerelease of the next version is the true
+    // minimum for a `>` bound (and lower than the plain next version)
+    ['>1.0.0', '1.0.1-0', { includePrerelease: true }],
+    ['>2 || >1.0.0', '1.0.1-0', { includePrerelease: true }],
+
     // Impossible range
     ['>4 <3', null],
   ].forEach((tuple) => {