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 investigation is underway after a rooftop protest at a prison in South Staffordshire.
Earlier today, six men scaled the walls at HMP Oakwood near Wolverhampton and set up camp.
A rooftop protest by inmates at HMP Oakwood prison in South Staffordshire has come to an end.
At around 11am this morning, six inmates scaled the walls of the building near Wolverhampton.
It is understood no staff or prisoners were injured during the incident and that no damage was done.
Bosses at security firm G4S, which runs HMP Oakwood in South Staffordshire, have put contingency plans in force as a rooftop protest continues at the prison.
A spokesman confirmed six prisoners were involved in the incident.