Earlier in the day, Fossella acknowledged that he "had a relationship" with Laura Fay, a retired Air Force officer who paid his bail after he was arrested last week for drunk driving -- and that he is the father of her 3-year-old daughter.
"I think Mr. Fossella is going to have some decisions to make over the weekend," Boehner said at a press conference with reporters.
"I would hope and frankly expect, that this is a decision between he and his family," Boehner said.
Fossella said Thursday he will be making no immediate decisions about his political future.
Boehner side-stepped questions on whether or not he thought Fossella should resign, saying it is a decision for Fossella to make after consulting with his family and his constituents.
Boehner said he had spoken "briefly" with Fossella, but did not disclose the details of their conversation.