Obama made the comments in a wide-ranging interview with the men's lifestyle magazine GQ in which the president addresses everything from his passion for basketball to the number of cigarettes he has smoked since arriving at the White House ("zero in the last five years").
Asked if he would "even bother" battle against billionaire real-estate tycoon Trump, 69, in a presidential race, Obama said: "I would've enjoyed campaigning against Trump. That would've been fun."
"Uh... I don't think... I don't think any of them rise to that level," Obama said.
Trump's bombastic run for the White House has seen him lob verbal missiles at his Republican rivals, Democratic frontrunner Hillary Clinton and Obama, to name just a few.
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Obama said he will "help" President-elect Trump with any
advice, counsel, information that he can so that the billionaire tycoon, once he is sworn in, can make a decision.
"Between now and then, these are decisions that I have to make based on the consultations that I have with our military and the people who have been working this every single day," he said.
"I think he hasn't gotten his whole team together yet. He still has campaign spokespersons sort of filling in and appearing on cable shows. And there is just a whole different attitude and vibe when you're not in power as when you are in power," he said.
"So rather than me sort of characterise the appropriateness or inappropriateness of what he is doing at the moment, I think what we have to see is how will the President-elect operate and how will his team operate when they've been fully briefed on all these issues. They have their hands on all the levers of government. They have got to start making decisions," he asserted.
"The more this can be non-partisan, the better served the American people are going to be, which is why I made the point earlier and I'm going to keep on repeating this point, our vulnerability to Russia or any other foreign power is directly related to how divided, partisan, dysfunctional our political process is.That's the thing that makes us vulnerable," he said.
"If we want to really reduce foreign influence on our elections, then we had (to) better think about how to make sure that our political process, our political dialogue is stronger than it has been," Obama said.