Stephenson is on a season-long loan at Tannadice and its been suggested he could be recalled by the Reds over injury concerns for their fullbacks.
"I want to stick around for the full season here,” he told The Courier. “It doesn’t matter how well I’m doing or how well I did last season, when I join a club, I commit to a full season.
“I almost try and forget about being a Liverpool player a little bit. I’m a Dundee United player and that’s my only concern.”
Stephenson admits he's grateful for the football education he received at Liverpool.
“Where I’ve come from in the past couple of years – playing and training at Liverpool – I don’t really fear playing against anybody.
“When I’m training with the best in the world every day, it’s natural to gain confidence. If I can get through a 11 vs 11 against Luis Diaz, I can get through a 11 v 11 playing against anybody in this league.
“The three I played against in the summer and throughout pre-season would have been Diaz, (Florian) Wirtz and (Cody) Gakpo – which is a decent range of players!
“People like to speak about the negatives of bringing in lads from the big academies, but I also think it does bring that inner belief.
“If you can control that, and make sure it’s not an arrogance, and then that can be a big positive."