Ben Carson argued Wednesday that Donald Trump and Khizr Khan should apologize to one another to resolve their feud over the past week after Khan lambasted the Republican nominee in his speech at the Democratic National Convention.

Carson, an adviser to Trump, told CNN that the real estate mogul and Khan, the father of slain Army Capt. Humayan Khan, should end their conflict and move on, though he conceded it doesn't seem likely that any apology will take place.

"Obviously, any family that loses service members are people for whom we should have great sympathy, and certainly I feel very much for those families. Recognize that they are grieving and very often they will say and do things out of that grief," Carson told host Wolf Blitzer. "I think we should give them a pass and move on. I'm hopeful that as time goes on, everybody on both sides of the aisle will simply adopt a position that we're not going to make these the issues. We're going to talk about the real issues that affect America. I can't get that point across enough."

"I think he should clearly move on," Carson said when asked if Trump should apologize to Khan. "I don't think it would be harmful if they apologized to him and he apologized to them, but I don't see that happening."

When pressed on why Khan should apologize to Trump, Carson said that it would be a "reasonable" course of action for recent accusations, which Carson did not expand upon.

"For one thing, if you accuse someone of something that's not true, it usually is a reasonable thing to acknowledge that," Carson said.

"I would say rather than make this a one-sided issue, why don't we all just say back off a little bit. We have such important issues to deal with, and let's just call it truce," Carson told the host. "And the best way to call it truce is simply to say 'I'm over that. You're over that. I'm sorry I said this if it offended you ... I'm sorry if I said that' because that's not our issue."