Leeds proved to be no match for Watford, who eased to a 3-0 victory at Vicarage Road, and McDermott concedes that his future may be in doubt following reports that Massimo Cellino had completed a deal to buy the club.
"Of course I'm under pressure - results suggest that," McDermott told reporters. "It depends who wants to be here next season because this guy's got a lot of clout and he'll have watched that tonight and been bitterly disappointed as well.
"I'm not in a strong position now because of the results we've had over a period of time.
"I met him before the game. We just talked about football, he's not looking to give me any assurances. I wouldn't expect any."
Leeds have lost eight of their previous nine games in the Championship.