Joe Root said England will be unchanged for the second Test against South Africa on Friday at Trent Bridge.
Wood had knee surgery this week to clear up excess cartilage.
England captain Ben Stokes' swashbuckling 155 was in vain as Australia won the second Ashes Test at Lord's by 43 runs on an extraordinary final day on Sunday to take a 2-0 lead in the five-Test series.
England face a tricky selection dilemma ahead of Thursday's third and final Test against Sri Lanka at the Rose Bowl.
England head coach Andy Flower rejected on Tuesday any suggestion that his team had engaged in deliberate time wasting during the drawn first Ashes Test against Australia on Sunday.
Seasoned pacer Stuart Broad has shown that he still has the "fire in the belly" to achieve a lot more for England, said former captain Michael Atherton, asserting that the "champion sportsman" has the potential to claim 600 Test wickets.
England should not be overly reliant on express pace in the next two Tests against West Indies and must consider alternating Jofra Archer and Mark Wood, former quick Darren Gough said. England opted for the express speed of Archer and Wood and the experience of James Anderson in Southampton but lost by four wickets in the series opener.
Along with Jonny Bairstow, Wood joined the England squad ahead of the third Test.
Statistical highlights of the third day's play in the third cricket Test between India and England on Tuesday.
Nottinghamshire seam bowler Broad was not considered for selection, with his partner expecting their first child towards the end of November.
The England fast bowler took six wickets and scored a century for county side Sussex's second XI last week.
'The facts are staring us all in the face, except Joe doesn't want to see it'
England, chasing 455 to pull off the highest successful run chase in Test history, reached 44 for no wicket at the close on a rain-hit fourth day of the second and final match of the series against New Zealand on Monday.
England pace bowler Jofra Archer has been omitted from the side for the first Ashes Test against Australia starting at Edgbaston on Thursday
'In South Africa you want to play on seaming tracks and do well there. In England you want pitches and conditions that suit swing bowling. Hopefully going forward wickets will have more life in them,' said the Indian skipper.
'BOOM What play, captain saab!'
England have included pace bowler Graham Onions in a 13-man squad for the first Ashes Test against Australia starting at Trent Bridge in Nottingham on Wednesday.
England skipper Ben Stokes expects to deliver with both bat and ball in the upcoming Ashes.
Young turks Yashasvi Jaiswal and Shubman Gill made the difference with the bat, while Jasprit Bumrah was devastating with the ball.
The West Indies trailed England by 244 runs at the close of the second day of the first Test in Antigua on Tuesday after Shivnarine Chanderpaul applied the brakes to any potential batting slump
England dominated Day 2 of the third Test at Edgbaston, reaching 2-116 at stumps after James Anderson helped skittle Australia for 263.
England selected Jofra Archer, on Thursday, signalling the possibility of continuing with the rotation of the bowlers.
Breaking its tradition of criticising the Australian team, the British Press has reacted to England's win in the first Ashes Test in a much milder language, while only praising James Anderson for the close win.
Overall, India have lost a Test match inside three days 14 times, including six times in England.
Images from Day 1 of the fourth Test between India and England in Manchester, on Thursday.
Former batting ace Sunil Gavaskar says India must put behind the James Anderson-Ravindra Jadeja episode and focus on the fourth Test against England, starting at Manchester on Thursday.
England beat India by 266 runs to win the third Test on Thursday and level the five-match series 1-1. Images from Day 5 of the Test.
Steve Smith scored an unbeaten 85 to guide Australia to 339/5 as England wasted favourable bowling conditions on the first day of the second Ashes Test.
England skipper Joe Root said he feels like the spectators have almost been "robbed" as they came to watch to the stadium to watch Virat Kohli and Rohit Sharma face the likes of James Anderson and Stuart Broad but instead watching him taking wickets.
Ravindra Jadeja has lost his top spot after sliding a place to be at the second position in the ICC Test bowlers rankings, released in Dubai on Sunday.
IMAGES from Day 5 of the 4th Ashes Test at the Sydney Cricket Ground on Saturday
After England dominated the proceedings on Day 1 of the first Test at the Bay Oval, Tom Blundell struck a century to revive New Zealand's chances.
The 27-year-old played only two T20 games for Sussex since his suspension from international cricket and bounced back to grab five wickets for 85 runs as India were dismissed for 278.
England pacer Stuart Broad has revealed that he and James Anderson are likely to be rotated through the five-Test series against India starting August 1 as part of the team management's strategy to balance the duo's workload.
James Taylor was denied a maiden century by an umpiring error.
India will need to be ruthless and tactful in equal measure while dealing with an unpredictable England when the third chapter of a riveting Test series begins in Rajkot on Thursday.
James Anderson joined an elite band of bowlers with 500 test wickets and Ben Stokes plundered a vital half century as England took command of a low-scoring third Test against West Indies at Lord's on Friday.
Wicketkeeper Jos Buttler will continue as England's vice-captain during the World Cup, the BBC reported on Tuesday.
The India-off spinner picked 564 wickets in all formats of the game followed by England pace duo of James Anderson and Stuart Broad, who took 535 and 525 wickets respectively..
Glenn Phillips was rewarded for a brilliant season for New Zealand in the shortest format of the game and was named the ANZ Men's T20I Player of the Year award, having thrilled New Zealand supporters with 740 runs at 38.94, scored a strike rate of 148.89.