Wood, 31, hit the headlines after having a testicle removed following the defeat to Leeds, and his personal life has also been subject to much scrutiny by the national press in the close season.
He will now turn out for the Lions against Workington this weekend, as part of the partnership they have with Warrington.
The Wigan-born prop has made nearly 300 appearances for the Wolves since he made his debut in 2000.
Swinton's opponents Workington are likely to have a couple of players from Widnes featuring in their line-up - the Vikings have confirmed Declan Hulme will definitely feature for the Cumbrians.
Wakefield skipper Danny Kirmond may be sidelined with injury at the moment, but that has not dimmed his enthusiasm for his club's campaign in the Qualifiers.
Catalans Dragons chairman Bernard Guasch has acknowledged that his club needs to work harder to produce more French players.
Catalans Dragons have confirmed that Academy graduates Lucas Albert and Fouad Yaha have signed long-term deals at the club.