Billy Joel's girlfriend is desperate for him to propose.

The 'Piano Man' hitmaker, 64, reportedly presented Alexis Roderick, 32, with an expensive diamond ring two years ago, but she is still waiting for him to pop the question.

A source said: ''It wasn't really an engagement ring, but it was more than a friendship ring.

''Billy hasn't ruled out getting married again, but as far as I know they're happy and not in any rush.''

But a source close to former financial advisor Alexis, who worked at investment bank Morgan Stanley, before she started dating the legendary singer, says she wants him to make a commitment.

The friend told the National Enquirer: ''She gave up a promising career in finance to be at Billy's beck and call. She's been with him for five years and deserves to make it official.

''Some friends are even telling Alexis she ought to give Billy a 'marry me or set me free' ultimatum.''

The singer may be wary of tying the knot again, as he already has three ex-wives, including model Christine Brinkley.