Prior to an away defeat at Bournemouth on 30 December, the Blues put together an unbeaten eight-game run as Sam Allardyce became the first Toffees boss to go without defeat in his opening seven matches in charge.
That run included six clean sheets in eight outings as Everton climbed from 17th in the table to their current position of ninth.
Everton must now wait until 31 January to face next opponents Leicester City, a side two places and six points above them in seventh.
A trip to Arsenal follows before further February games at home against Crystal Palace and away at Watford.
And the experienced Williams insists it’s vital the Blues rediscover some form at both ends of the pitch.
“We’ve got to get back on track, perform better, get results, get clean sheets and win games,” said the 33-year-old.
“There’s always work to do and sometimes you have a bit of momentum through the season and sometimes you don’t. It’s a long season.
“We did okay when the gaffer came in and now obviously we’ve gone the other way a little bit, so it’s about turning that momentum again and trying to get a bit of a run going.
”We’ve stopped the losses, we’ve stopped the rot a little bit with a point [against West Brom], and there’s two ways to look at it. You have to take the point in this league and respect the opponent.
“But we’d like a lot more ball in the opposition’s final third and we need to get back to keeping clean sheets as well, which we haven’t for a little while. It’s both ends and, as a team, we need to do better.”
Williams admitted his disappointment that the Blues failed to fully hit their straps against Alan Pardew’s men, albeit they demonstrated their resilience in once again coming from behind to rescue a point.
“It’s for us now to get in the video room and analyse [our performances],” he added.
“The lads dug deep [against West Brom], especially after half-time up to that period when we scored. We performed well and kept pushing. But after that I feel like we could have done a lot better to go on and try to win the game.
“On the one hand, I’m happy that we got a point and we came back from a losing position but, on the other hand, I’m not happy because we know we can perform a lot better than that, and they’re the type of games – especially at home - we want to win.”
Theo Walcott made his first start since April last year against the Baggies as he was handed his Everton debut just three days after being confirmed as the Club’s latest signing.
The former Arsenal attacker had only managed one training session with his new colleagues before kick off but laid on the equaliser for Oumar Niasse just 57 seconds after the Senegal striker entered the action as a substitute.
Williams was impressed by the 28-year-old’s first showing in royal blue and expects him to prove a valuable asset for the Toffees going forward.
“I thought he did really well today,” he added. “Obviously it’s tough to go to a new team, especially when he’s been at a certain team for so long.
“He’s only joined this week so you’re not expecting him to have that chemistry with the lads straight away or do unbelievable things but I thought he had a really good debut and I think he’s a brilliant signing for us.”
The afternoon did serve up a huge blow to the Toffees, however, as midfielder James McCarthy suffered a double leg fracture in a challenge with West Brom's Salomón Rondón midway through the second half.
The 27-year-old Republic of Ireland international will now miss the remainder of the season and is set to undergo surgery on Monday.
“I’m gutted for him, more than I can tell you to be honest,” said Williams. “It wasn’t nice when it happened. I’ve been there, Seamus [Coleman], and other players, too. And it just seems to keep happening to the most honest people as well, and it just doesn’t seem fair.
“It’s incomprehensible really, especially to James with his recent luck with injuries. It’s a tough one.
“I knew it was bad, you could tell straight away.
“It’s difficult and you’re obviously concerned about your mate after that. We wish him well.”
