Chelsea can now afford to lose one of those matches and still win the title for the first time since 2006.
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''There was pressure on us to get this result because we needed to improve our position, but I think the players now have very good motivation to arrive well to the end of the season.
''We had 21 shots, so we deserved to win. There's no debate about this. It was difficult because, when you're 1-0 up, you have to be careful right to the end. For me, it was a very good performance.
''Now we have more possibility to win the title than, with respect, Manchester United and Arsenal, but we are not sure yet.
''We have to play four tough games and we know that we have to fight again. But we're ready to fight.''
Captain John Terry urged his team-mates to go on and make history by winning the league and FA Cup double.
Should Chelsea press home their league advantage and beat Portsmouth in the FA Cup final they will become the seventh team to do the Double.
Terry said: ''There's a real togetherness in the squad. We now have the chance to make some history this season and we are all determined to achieve it.
''We have not won the league for the last three years. We've won the FA Cup twice in that time. We have never won the league and cup double.
''In my lifetime only Liverpool, Manchester United and Arsenal have, so when the opportunity arises you have to seize it. When you seize it, you can make history.''
Bolton boss Owen Coyle criticised referee Lee Probert for failing to give his side two penalties.
Coyle insisted that Didier Drogba was guilty of handball in the first half and that Terry committed a similar offence in the second period.
But referee Probert dismissed both penalty appeals to leave Coyle raging.
''We didn't need any luck tonight, we only needed the officials to give the big decisions right,'' fumed Coyle. ''There were two stonewall penalties out there for handballs.
''The first one, after 27 minutes when Drogba handballs in the area. I know Drogba is a world-class player, but he could play world-class volley ball for anybody on that evidence.
''Then there's the second one when John Terry handles it. The assistant referee says it hit his shoulder, but it's a clear penalty. He must have a shoulder that stretches down to his ankles in that case.
''These are big decisions. The first one was at 0-0, the second might have got us a point. That's not unlucky.''