Wood was part of the side that triumphed in the opener in Hyderabad last month, but did not take a wicket as spin dominated affairs.
The Durham quick was then left out of the Second Test in Vizag, with James Anderson instead handed the responsibility of playing as the sole seamer.
Anderson, playing for the first time since the previous summer’s Ashes series, was superb, taking five wickets across the match, but India levelled the series with a 106-run triumph, largely inspired by the brilliance of their own star seamer Jasprit Bumrah.
England have whittled their touring party down to a 12-man squad for the Third Test in Rajkot, with Wood included alongside the XI that played in Vizag and a final decision over selection delayed until tomorrow.
However, with a covering of green grass on the wicket two days out, it appears likely that captain Ben Stokes and head coach Brendon McCullum will select two specialist seamers for the first time on the tour, with one of Shoaib Bashir and Rehan Ahmed likely to miss out.
"If we were to go with two seamers the reasons why we would look at Jimmy and Woody would be I just like to have a point of difference," said Stokes, who also has Ollie Robinson and the uncapped Gus Atkinson as part of his squad. "And India is never a three-seamer option.”
The decision could yet be made for them should Ahmed’s visa issue not be sorted in time for him to feature, but as of Tuesday evening, England were confident of a swift resolution.
Ahmed was initially denied entry back into India when England returned from a mid-series break in Abu Dhabi on Monday night, after border staff noticed he did not have the necessary paperwork.
The teenager had flown to India at the start of the tour on an visa issued - but never used - for last year’s World Cup, when he was a non-travelling reserve, but the ECB failed to spot that it was valid for only one entry.
Stokes and McCullum stayed with Ahmed at Hirasar Rajkot Airport while he was approved for a two-day emergency visa, which has allowed him to train with the team as normal in the run-up to the Third Test.
England have since applied for the correct, multi-entry visa and are convinced there will be no repeat of the saga that saw Shoaib Bashir miss the First Test over a separate visa problem linked to his Pakistani heritage.
"It's not a concern," Stokes added. "The guys who dealt with it at the airport did a really good job, given where we found ourselves. I'm confident that will be sorted."