The Hoops will play four of their next five league fixtures at home and Simpson is adamant that with the full backing of the fans, they can take maximum points.
The 20-year-old cited QPR's last home encounter against Barnsley - a game in which they triumphed 5-2 - as proof that the support can help the team.
"The fans against Barnsley in the last home game got behind us and I think they made it intimidating for them to play," Simpson told the club's official website.
"If they can do that again then we can continue our good form and pick up a lot of points along the way.
"The fans give you confidence and the players get that extra buzz to perform like we showed against Barnsley."