diff --git a/qiskit/circuit/library/standard_gates/u.py b/qiskit/circuit/library/standard_gates/u.py
index 93c7503874bd..e2de3b291bd8 100644
--- a/qiskit/circuit/library/standard_gates/u.py
+++ b/qiskit/circuit/library/standard_gates/u.py
@@ -61,10 +61,11 @@ class UGate(Gate):
 
     .. note::
 
-        The matrix representation shown here is the same as in the `OpenQASM 3.0 specification
-        <https://openqasm.com/language/gates.html#built-in-gates>`_,
-        which differs from the `OpenQASM 2.0 specification
-        <https://doi.org/10.48550/arXiv.1707.03429>`_ by a global phase of
+        The matrix representation in the current `OpenQASM 3 specification
+        <https://openqasm.com/language/gates.html#built-in-gates>`_ is this
+        matrix multiplied by a global phase of :math:`e^{i\theta/2}`. Earlier
+        versions of the OpenQASM specification used a definition that differs
+        from Qiskit by a global phase of
         :math:`e^{i(\phi+\lambda)/2}`.
 
     Examples: