He seemed to be in good mood as he walked off the field and was joking with England Lions batsman Jordan Cox, whom he had just caught at the boundary.
But given his injury record, any injury to Wood will be a big concern for England.
Wood has not played a Test since August 2024, when an elbow injury ruled him out of the rest of that year.
He returned to white-ball cricket earlier this year but suffered a knee injury in the Champions Trophy that required surgery.
The hamstring problem is in the same leg on which Wood had knee surgery.
The tour match against the Lions was Wood’s first cricket of any kind in nine months and his first whites match in 15 months.
Nevertheless, on a slow pitch he quickly came into pace and reached 91 mph in his first spell.
England’s selection for the tour games gives an indication of their plans for the first Test, with Wood part of a five-man pace attack and frontline spinner Shoaib Bashir playing for the Lions.
Spin has played less of a role in Tests in Australia in recent years, and the Optus Stadium is particularly suitable for the seam for the first Test against Australia starting on November 21.
Another England fast bowler, Brydon Carse, missed the first day of the tour match due to illness but is expected to join the game in the coming days.
England captain Ben Stokes took four wickets in the first two sessions in his first innings since July.
The all-rounder has been out of action after missing the final Test of the series against India due to a shoulder injury.
Australia captain and fast bowler Pat Cummins has been ruled out of the first Test with a back injury, while fellow fast bowler Josh Hazlewood has been treated for a hamstring problem after being injured on Wednesday.