diff --git a/src/sage/rings/polynomial/integer_valued_polynomials.py b/src/sage/rings/polynomial/integer_valued_polynomials.py
index 3df5a101dbc..41975882cc2 100644
--- a/src/sage/rings/polynomial/integer_valued_polynomials.py
+++ b/src/sage/rings/polynomial/integer_valued_polynomials.py
@@ -224,10 +224,15 @@ def from_polynomial(self, p):
                     Traceback (most recent call last):
                     ...
                     ValueError: not a polynomial with integer values: 1/3
+
+                    sage: t = polygen(ZZ,'t')
+                    sage: B = IntegerValuedPolynomialRing(QQ).B()
+                    sage: B.from_polynomial(t+1)
+                    B[0] + B[1]
                 """
                 B = self.basis()
                 poly = self._poly
-                remain = p
+                remain = p.change_variable_name('x')
                 result = self.zero()
                 while remain:
                     N = remain.degree()