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.
John Davidson takes his weekly look at the NRL...
John Davidson takes a look at the Dragons’ mauling of Wigan, the rise and rise of Tommy Makinson and the evolution of the winger.
Catalans hooker Ian Henderson has been cleared to play at Magic Weekend, after he was found not guilty on a charge of Grade B dangerous contact.
Wakefield skipper Danny Kirmond is in optimistic mood ahead of his team's Magic Weekend clash with Castleford.