The West London outfit are at the bottom of the table, seven points away from safety following their 2-0 defeat to Manchester United on Saturday.
"I hate losing football matches," the Fulham Chronicle quotes Mackie as saying. "It's been too much of a regular occurrence.
"I'm the sort of character who never gives up, that's in me. I've worked my way up through the divisions and I'll be devastated if I'm not in the Premier League any more. That's the place to play your football."