The foreign relations and defence committee said the provision of a bill adopted by the National Assembly last month "could appear to be directed against a friendly state and ally of France, that is Turkey."
It would "likely cause grave harm to diplomatic relations between France and this country," a statement from the committee said, reported World Bulletin.
The National Assembly voted on May 29 to make a referendum mandatory for accepting new countries with populations totalling more than five percent the bloc's entire size -- a move that affects Turkey.
The provision is part of a bill on institutional reform to be submitted to a vote in July.
Sources in parliament said the measure was now likely to be blocked by the Senate.
Turkey had warned that the move could harm relations, saying in a foreign ministry statement that it was "irked by efforts to enshrine such a discriminatory approach towards Turkey in the French constitution despite the fact that accession negotiations (between Turkey and the EU) have started with France's consent."
President Nicolas Sarkozy is a vocal opponent of Turkey's entry into the European Union, arguing that the mainly Muslim country does not belong in Europe.
Instead, he proposes a "privileged partnership," an idea Turkey rejects.