Kelsey Grammer is "deeply in love" with a young blonde just weeks after his divorce was filed.

The "Frasier" star, who's now starring in Broadway's "La Cage Aux Folles," was spotted holding hands in town this weekend with the woman, who sources tell us is British and is called Kate.

A source close to Grammer said, "He's pushing for a quickie divorce because things are moving quickly with his new girlfriend. There is speculation that she is pregnant, but he wants to finalize the divorce before making any announcement."

After his wife of 13 years, Camille Donatacci Grammer, filed for divorce just over five weeks ago, the star denied he was seeing someone else, writing on Twitter on July 5: "Certainly, the time will come when I do see another woman."

ut last weekend, he was repeatedly photographed walking near his New York apartment holding hands with the blonde, whose black dress appeared to reveal a bump.

A rep for Grammer said, "They are very happy together." But asked about a possible pregnancy, the rep said, "Kelsey did not discuss it with me."

Go to NYPost.com for the full report.