Only last week the England international revealed manager Brendan Rodgers had said he could leave and would assess his options when the January transfer window opens.
However, after recording his first Barclays Premier League goal and assist since his summer 2011 move from Aston Villa in the 4-0 win over Fulham - Liverpool's biggest in the league since April 2011 - Downing is more confident about staying.
"I'm just trying to work hard and take the opportunity when I'm given it," he said. "I'm here to play and as long as I get the opportunity I'll try my best."
Rodgers said he had spoken to Downing at length during his most difficult spell at the club and it appears that pep-talk has paid off.
"I thought Stewart was brilliant, in every aspect of the game," said the Reds boss. "I spoke to Stewart about six or seven weeks ago and we had an honest conversation about where he was at. He's in his late 20s, he was an England international a few years ago and he wasn't playing.
"So we spoke about how he could get into the team. And I think his reaction from that moment, like it has been for Jose Enrique and one or two of the others, has been outstanding.
"His goal was a fantastic strike and he combines very well with Glen Johnson out on the right side because he clears space for Glen to run into.
"Stewart's movement is really intelligent and his pass for Steven's (Gerrard) goal was superb. You'll find with attacking players, because their job is always to take people on, if it's not quite happening for them, they need that bit of support. But all they can do is work hard.
"Stewart has played a lot of games. He's a very important member of our group at the minute and if he keeps performing like that, hopefully he'll establish himself in (the side) and show the talent he clearly has. If he keeps playing like that, he'll be going nowhere - he'll be staying in the team and that's what it's about."