The France international scored twice, either side of a superb solo effort from Anthony Martial, as the Red Devils made it 10 wins in 11 matches in all competitions under Ole Gunnar Solskjaer.
Pogba admits it is a good feeling given United were 11 points adrift of the top four when Solskjaer took over in December, but he says the challenge is now to stay there.
"It feels great. It's what we wanted since Ole came. We want to be in the top four. There's still a long way to go but we want to stay there," he told Sky Sports.
"We were very far and now, to get back to the top four, is a good result. But, like I said, we have big games coming up. It's not going to be easy.
"It's always good but the big teams now just stay there. When we need three points, we get the three points, when we're playing away. There are big games coming up and that will decide where we're going to stay at the end of the season."
Pogba's double takes his tally to 11 league goals this season, a personal best in his career in Europe's top-five leagues, but victories remain more important to the 25-year-old.
"It's always great to score goals but the most important thing is to win games. When you don't win, it's not the same feeling," he said.
"I feel great, the team feels good, and we just have to carry on like this. This game was really important. It's a good sign, it gives confidence to the team. We have to carry on like that to stay in the top four."