Torps suffered a dead leg against Exeter City, and will struggle to return to fitness in time for next Saturday's trip to Boston United.
Nathan Stanton is suspended, and if Byrne is unable to return to the side to cover then Lee Ridley is likely to be drafted into the starting lineup at centre-back.
Despite scoring six goals for the reserves on Wednesday Peter Beagrie will have to settle for a place on the bench, with Brian Laws saying that he is not yet fit enough to play a full ninety minutes of first team football.
Laws also hinted that Paul Hayes could be given a chance playing alongside Martin Carruthers up front, which would see Lee Featherstone either drop back into midfield or onto the bench.
Wrexham meanwhile are likley to be without severl key players as well, with manager Denis Smith waiting on Carlos Edward and Hector Sam before naming his side.