The former Florida governor, who remains popular with Republican insiders and was considered a dark horse for the Republican presidential nomination had Mitt Romney not been able to avoid a brokered convention, said in April he would "consider" the vice presidential nod.

"Well I'd consider it, but I doubt I'll get a call, and I don't know if it's the right thing for me to do. I didn't run for president for a similar kind of reason, so I'm all in to try to help him get elected," Bush told Newsmax.

A poll released earlier this month by Suffolk University showed that while President Obama led Mitt Romney by a single point in the Sunshine State, adding Bush to the ticket would swing the state for the Romney, giving the Republicans a two point lead.

Sen. Marco RubioMarco Antonio RubioGOP leaders hesitant to challenge Trump on Saudi Arabia On The Money: Treasury official charged with leaking info on ex-Trump advisers | Trump to seek 5 percent budget cut from Cabinet members | Mnuchin to decide by Thursday on attending Saudi conference Mnuchin to decide by Thursday whether to attend Saudi conference MORE (R-Fla.), who Bush himself has often cited as an ideal choice, also swung polls to favor Romney. The Republican nominee will likely need to win Florida to have a shot at taking the White House in November.