But the Top Chef host, who gave birth on Feb. 20, is not open to the idea.
"Her relationship with Dell was nothing more than an on-again, off-again fling. She moved on months ago," the source says. "The only role he will have in her life going forward is as the biological father of her child. She wants nothing more to do with him."
Ever since Lakshmi, 39, announced her pregnancy in October she has remained mum about the father's identity. And when stories surfaced naming Dell – whose tycoon brother Michael founded computer-manufacturing company Dell Inc. – as the dad, Lakshmi still wasn't ready to discuss their relationship.
"I have a newborn," Lakshmi told PEOPLE at the time. "I just want some peace and privacy."
Meanwhile, the fact that Dell, 40, hired a publicist raised eyebrows with Lakshmi. Her friend calls the move "a disgrace."
A source close to Dell said he is merely "seeking more liberal visitation rights with his child," and denied that he is trying to be back in Lakshmi's life.
"Adam ... signed an agreement spelling out visitation and should live by it," Lakshmi's friend says. "Padma is."