The Republican presidential candidate gave a radio interview describing the remaining threat from the old Cold War rival.
The website Think Progress captured Bachmann in interview with right-wing Christian attorney Jay Sekulow.
She said: 'What people recognize is that there's a fear that the United States is in an unstoppable decline. They see the rise of China, the rise of India, the rise of the Soviet Union and our loss militarily going forward.'
'And especially with this very bad debt ceiling bill, what we have done is given a favor to President Obama and the first thing he'll whack is $500 billion out of the military defence at a time when we're fighting three wars. People recognize that.'
The Soviet Union dissolved in December of 1991 and the U.S. has normalised relations with many of the countries that came from the break-up. The White House has reset its relationship with Russia.

Earlier this week she got Elvis Presley's birthday wrong. She also revealed her ignorance about when slavery was abolished.
Despite her mistakes Bachmann remains near the top of GOP polls in her bid to unseat Obama.
And I don't have a TV.
I think these people are running on looks, posture, voice tone and other non-verbal communications to gain favor with audiences. If people hear what they say, it probably doesn't matter to most of them.
Maybe I'd think different if I actually saw them talk. But as far as I can tell, they're all acting like lawyers. They think they can win based on how bad they make their opponent look.
I wonder if anyone expects any more from them than that. Take Ron Paul. He's serious about the stuff he talks about. But if he actually became President he'd be torn apart within a few weeks in office. Most of the others have an advantage: They have so little of substance to say that there would be very little to tear apart!
I don't men to belittle the issues that some of these people are talking about. I just don't see beings here of real moral or spiritual substance.