Livermore was sent on loan by Tottenham manager Andre Villas-Boas at the start of the season and admits Hull manager Steve Bruce has made a significant impact on his morale.
The midfielder has featured heavily in Bruce's plans so far this term, making 15 appearances and his strike at The Hawthorns was his second in the Premier League.
Hull have battled their way into 12th in the Premier League standings and Livermore acknowledged the significance of playing regular football as he looks to develop his all-round game.
"To be fair the gaffer has been great, getting forward is one of my strengths and he has given me freedom to use that," Livermore told Sky Sports.
"He has been great for me confidence wise.
"At the minute, I'm just taking it game-by-game and enjoying my time here. The players here, the staff here, the fans, everything is great."
With parent club Spurs parting company with Villas-Boas on Monday, Livermore's future at the KC Stadium could be reviewed but the player insists that business is best left in the hands of both clubs.
"I'm just focusing on trying to improve," he added. "Whatever happens in January happens.
"Whatever the two clubs decide we will take it from there."
Bruce expressed his ambition to see Livermore remain a Hull player in the New Year and the one-cap England international admits he would be open to penning a permanent switch.
"I would love to play football week in, week out and score more goals like today," he said.
"Whatever that means, whether it be here or at Tottenham, I am definitely open to a move."