Seamers Timm van der Gugten and Ruaidhri Smith and batter Eddie Byrom are currently out of action through injury.
TVDG suffered a hamstring tear during the LV= County Championship match at Durham and is expected to be out for 8-10 weeks, while Smith picked up a side strain during the second eleven match against Warwickshire and will be out for 4-6 weeks.
Byrom, who was coming back to fitness from minor surgery, is out for another couple of weeks with a hip flexor strain but is hoping to return for the opening home Vitality Blast match against Essex Eagles on Thursday, 2nd June.
Captain David Lloyd was diagnosed with a chest infection following the fixture against Durham, however, is expected to be fully fit for the next match.
The players will continue to be assessed and monitored by the Glamorgan medical team.