Appearing on a Christian television program last week, the co-founder of the Tea Party Caucus said: "I've had people contact me and urge me to run for that Senate seat".
"The question is, should it be me? Should it be now?"
Franken, a former "Saturday Night Live" comedian, first won his Senate seat in 2009.
In an episode of "The Jim Bakker Show" that aired last week, Bachmann told the televangelist that she has been encouraged to consider a 2018 campaign.
Bachmann said that she would be willing to run in order to take godly principles into the Senate but is concerned that she will be unfairly attacked by Washington insiders because "the swamp is so toxic". But he didn't do what Harvey Weinstein did.
"I trust in a big God", Bachmann said, asserting that she "was supposed to run for president" in 2012 in order to make the the repeal of Obamacare the central issue of the Republican platform. But there's also a price you pay. But that will change Wednesday, as Lt. Gov. Tina Smith is to replace Franken at mid-day.
A special election will be held in November to serve out the final two years of Franken's term.
"Some of the allegations against me are simply not true", Franken said.
Bachmann would be an instant force in the race given her broad name recognition and a almost $1.7 million campaign balance she still has control of from her days in Congress.
Bachmann acknowledged the challenge of running as a conservative Republican given the current political climate. I think he did.