Jan Vertonghen and Kyle Naughton have impressed at left-back since Assou-Ekotto injured his knee back in September, while Spurs have also recently added highly-rated full-back Zeki Fryers to their squad.
But Assou-Ekotto, who has been the club's first-choice left-back since he joined from Lens in 2006, slotted easily back in to the team on Saturday as Tottenham moved in to the fourth round of the Cup with a 3-0 win.
And the Cameroon defender insists he will make the position his own once again.
"It's not a problem," Assou-Ekotto said when asked about competition for his position.
"When I came here six years ago I was in competition with Gilberto, Lee Young-Pyo and Gareth Bale and it ended up being my place (in the team) so it's not a problem."