The Arsenal striker, who was sidelined last month due to a groin injury, has been included in the Arsenal squad for the Everton game.
The striker said he would be having a fitness test before the game against fourth-placed Liverpool.
Arsene Wenger was hoping to get a better idea from a scan which Henry was having on a groin injury.
The Arsenal manager is not sure whether the injured striker will be fit for next month's FA Cup final against Manchester United.
Arsene Wenger is so obsessed with making Arsenal the dominant force in English football that he has forgotten all about Christmas.
Arsenal striker Alexis Sanchez and playmaker Mesut Ozil are fit for Sunday's Premier League clash with Chelsea, manager Arsene Wenger said. The league leaders have been without the influential Chilean, who has scored six league goals this season, since late November after he suffered a hamstring injury. Ozil missed Sunday's goalless draw away at Stoke City with a minor toe injury. "The good news is that Ozil certainly will be available, and Sanchez ... the next two days will be decisive ... but I think this time he will make it to be available for selection," Wenger told reporters on Thursday.
As a result Robert Pires will miss their Champions League match against Bayern Munich at Highbury next week.
Arsenal's England defender Sol Campbell has begun talks about extending his contract at Highbury.
Arsenal cruised to a 3-0 win over Chelsea on Saturday, scoring all three goals in the first half to claim their first Premier League victory over their London rivals in 10 attempts. Arsenal gave their manager Arsene Wenger something to celebrate as he marked 20 years in charge of the club, punishing Chelsea for poor defending to race into a 2-0 lead within 15 minutes.
Chelsea stay a point clear of Arsene Wenger's unbeaten team with 36 points.
The French striker will be absent from the Arsenal first team lineup for the first time this season on Sunday.
After picking the ball out of his net several times in a 4-0 drubbing at Southampton two days earlier, Arsenal goalkeeper Petr Cech celebrated a record on Monday by keeping his 170th Premier League clean sheet.
The German goalkeeper remains hopeful of playing at the 2006 World Cup, despite the loss of his place at Arsenal to Manuel Almunia.
The Arsenal manager said the Champions League draw offers Arsenal a chance to exact revenge for one of their worst displays in Europe.
Manager Arsene Wenger says Arsenal could offer 35-year-old Dutch forward Dennis Bergkamp a new one-year contract for next season.
The former England goalkeeper ends a 13-year stint with Arsenal.
Robert Pires and Jermaine Pennant fired hat-tricks in a 6-1 win, a dress rehearsal for next week's FA Cup final.
A fixture that once enjoyed the cachet of a heavyweight title fight -- and often resembled one on the pitch as England's preeminent teams slugged it out -- has been relegated in status with United fifth and Arsenal sixth in the Premier League.
Arsene Wenger hailed his team's first-half performance as "nearly perfect" and allowed himself to entertain the possibility of winning the title, despite Manchester City winning all six of their games so far to sit five points ahead of Arsenal.
Arsene Wenger withdrew Jack Wilshere from the heat of battle against Borussia Dortmund on Tuesday and said he may have to protect the midfielder from his own desire to play.
A 2-2 with local rivals Tottenham Hotspur secured them the title with four games to spare.\n\n
Arsenal beat Liverpool 4-2 to take a seven-point lead over Chelsea at the top of the league with seven matches remaining.
"We have 11 games to go and we have tricky away games," the Arsenal manager said.
The Arsenal captain is a doubt for the match against Celta Vigo after injuring his knee on Saturday.
After settling one score with Liverpool, Manchester United will attempt to bury the memory of their most painful defeat of recent seasons.\n\n
Arsenal captain Thierry Henry has ended speculation about his future by pledging to remain with the north London club.
Striker Jamie Vardy is likely to turn down a move to Arsenal and stay at Premier League Champions Leicester City, the north London club's manager Arsene Wenger has said.
Arsenal will have to produce the biggest second leg comeback in a Champions League knockout tie to avoid a seventh successive exit at the last 16 stage when they host Bayern Munich on Tuesday.
Results and images from the English Premier League matches played on Saturday.
Arsenal fought back from a goal down against old foes Chelsea to reach the League Cup final as Granit Xhaka poked home to complete a 2-1 second-leg win on Wednesday that set up a Wembley showdown with Manchester City.
