Calling all eligible bachelors?

A source tells us Irina Shayk is looking to find a new man after her fling with NFL hunk Tom Brady fizzled.

“She is shopping, but her dating pool is a tiny group of people,” says our source. “She needs famous, good looking and money. How many of those are there? Five, ten?”

Oh, the problems of the rich and gorgeous!

We hear the Russian model is “looking in Europe and in the USA.”

Our source suggested the newly single Tom Cruise as one possibility, after the “Top Gun” star recently split with Russian socialite Elsina Khayrova.

We hear Shayk, 38, who was recently on the cover of Vogue Italia, will attend the Met Gala, the so-called “Oscars of Fashion” thrown by Vogue and the Metropolitan Museum of Art’s Costume Institute, on the first Monday in May.