Defoe said: "Before the game I actually forgot, which to be honest was a good thing because if I had been thinking about it during the game maybe that goal wouldn't have come, maybe I would have snatched at the chance.

"When it went in I was delighted because, to score a goal like that, and even at the time I didn't realise it was the 300th goal, but when they reminded me after I was delighted because I enjoyed it, it was a good goal."

Defoe, who netted his first goal more than 20 years ago for West Ham against Walsall, revealed the move was pre-planned.

"I spoke to Tav," he said. "When he gets the ball, if I can disguise my run like I am coming short and then spin in behind, I know he has that range of passing.

"As it came over my shoulder I just felt like I had to hit it first time. I obviously stayed relaxed with the finish. When I watched it back, it was a good one."

The win sent Rangers six points clear at the top of the Scottish Premiership after Celtic, who have a game in hand, were held to a 3-3 draw by Aberdeen hours earlier.

Rangers looked determined to build on last weekend's victory at Celtic Park and goals from Joe Aribo and Defoe had them two ahead inside 16 minutes, although they lost much of their verve after half-time.

However, Defoe insisted they were not paying much attention to the league table.

"To be honest, personally I have not really been looking at it," he said.

"It's important we just focus on ourselves, take each game as it comes, keep working hard, keep believing that we can improve. Even games we have won, still believe we can improve.

"Training is always good, every week everyone is trying to impress the manager. Everyone wants to get in the team, which is always important.

"Just focus on ourselves, we can't take our foot off the gas, just keep going."

Livingston manager Gary Holt was encouraged by his side's second-half showing as substitutes Josh Mullin and Alan Forrest both forced saves from Allan McGregor.

"I thought we had a lot of positives, especially second half," Holt said. "We changed the system and Josh gave us more of an out ball, another threat going forward.

"We were more on the front foot second half, more aggressive against our opposite numbers, were in their faces a bit better and made it more difficult.

"Rangers are a good side, they get into areas, they pull you about, but the two goals we conceded were very soft from a defensive unit."