Fulham's position in the Premier League has become increasingly desperate and the club remain rock-bottom, five points adrift of safety, with just six games remaining.
Reports have suggested that Khan could call time on Magath's short spell in charge, which has yielded only four points in six games.
But Magath has dismissed claims that his position is in peril.
"I had a phone call with the owner (on Wednesday) and everything is fine. He knows the situation, he knows how things work," he said.
"I have no doubt about my contract. I don't worry about it.
"It's normal if things in clubs don't go well. There is politics, people who call journalists and tell them 'I know that is going on', but I don't care.
"Sure I'll be here next season. I'm here to build a team. That was clear from the beginning.
"I like to develop teams, I like to develop players so therefore I'm here. I will be here next season and I will do that here."
Fulham will be without £12m striker Kostas Mitroglou for Saturday's trip to Aston Villa as the Greece international remains sidelined with a knee injury.
Fears have been raised that Mitroglou could be ruled out for the rest of the season, but Magath expects him to play a part as they pursue a survival target of four victories.
"Kostas will recover before the end of the season. We check him day by day. I hope he'll join us next week," Magath said.
"Four wins are enough to stay up and we are able to do that.
"We need to win now. Winning a game is the most important thing. We have to win and that will help us a lot.
"The players haven't given up. You are not confident if you're losing games, but at the training sessions they are concentrating and eager to do their job."