The Shadow Justice Secretary Sadiq Khan says the government need to tell us what is going on at Oakwood.
The MP for South Staffordshire, the constituency where HMP Oakwood is situated in, says the problems there need dealing with 'quickly'.
Tory MP Gavin Williamson says prison ministers and its operator G4S have been working together to resolve the 'teething problems'.
Britain's largest jail near Wolverhampton can hold 1600 inmates, but there has been a number of security alerts since it opened in April 2012, most recently prisoners climbing onto the roof twice in November.
An "incident" at Oakwood Prison near Wolverhampton has been "resolved successfully" according to a spokesman for G4S, the company that operates the facility.
A spokesman for Staffordshire Police said the force was aware of the incident at the privately-run jail and was offering support and assistance to G4S.
Security firm, G4S, has confirmed that there is an 'ongoing incident' on a wing at Oakwood Prison.
No further information was available about what had triggered the problem.
There are reports of an 'ongoing incident' at HMP Oakwood in Featherstone. The prison is run by security firm G4S. More to follow.
An MP says more must be done about the overcrowding of sex offenders at Birmingham Prison.
Khalid Mahmood visited staff and inmates after a critical report a year after the private security firm G4S took over. They were criticised for failing to keep sex offenders apart from other inmates.
The report also cited problems with rats in the kitchen. G4S told Central Tonight action has already been taken to address many of the issues.
Four staff have been injured in an altercation with an inmate at the G4S-run Birmingham Prison.
G4S has confirmed two staff suffered serious cuts and all four were taken to hospital for treatment.
It happened yesterday morning (7 November).