The newly-single actress (following her split from John Mayer) is said to be eager to start a family and, with no Mr Right on the horizon, has been considering likely sperm donors.

According to The National Enquirer – who are always game for an unlikely-sounding story – old pal David fits the bill.

“Jen’s been telling everyone on the set this film (The Baster) should be promoted as the story of her life,” an insider tells the tabloid.

“But the real shocker is that she says her top candidate for artificial insemination is David Schwimmer!”

A second insider adds: “The funny thing is that Jen said when she and David were still starring on Friends, they made a pact that if they were both single at 40, they’d elope and start a family together!”