Doncaster Rovers are awaiting the results of a scan on the ankle of Anderson after he limped off against Portsmouth.
On the skipper’s injury, Wellens said: "Once he waves that he needs treatment, you know. He's not the type to stay down.
"He's been having injections on the specific area so we'll get him scanned and take it from there."
Meanwhile Bostock suffered a back spasm during the second half of the weekend’s game.
“It’s just a back spasm,” Wellens said.
"He won't play Tuesday because there's no need and I'm probably going to make loads of changes because the team needs freshening up.
"The most important game is next Saturday so we'll make loads of changes.”
We have gathered the best of today’s League One rumours below...
1. Wrexham chasing Cheltenham Town captain
Wrexham are lining up an ambitious move for Cheltenham Town’s captain Ben Tozer. The National League club are keen to underline their spending power following Ryan Reynolds and Rob McElhenney’s arrival. (Gloucestershire Live) Photo: Dan Istitene
2. Sunderland duo could leave on loan before deadline day
Lee Johnson has hinted that Sunderland pair Jack Diamond and Benji Kimpioka could leave the club on loan over the next week. The Black Cats boss has admitted Diamond has received many offers. (Sunderland AFC) Photo: Stu Forster
3. Bolton boss says he was “never interested” in signing winger
Ian Evatt has claimed Bolton Wanderers were never interested in signing James McClean despite their reported interest. The winger joined former club Wigan Athletic following his departure from Stoke City. (The 72) Photo: Eric Alonso
4. Fleetwood Town join race to sign Wolves star
Fleetwood Town have apparently joined Accrington Stanley and Hibernian in the race to sign Wolves forward Austin Samuels. The trio are among a number of clubs keen on the pacey striker. (Football Insider) Photo: Charlotte Tattersall