Blackburn's director of football, Shebby Singh, has admitted the situation surrounding Steve Kean's future as manager of the club "gets worse by the day".

The Scot has failed to reach Singh's target of 16 points from the first seven games and there is mounting speculation that his dismissal is imminent, despite Rovers having their best ever start in the Championship.

They are currently in third place, behind Brighton and Huddersfield, with 14 points, following their relegation from the Premier League last season.

"Unfortunately, the momentum [of the speculation about Kean] built up so fast it was quite difficult to step in and react," Singh said. "We have people heading up different departments whose responsibility it is to step in but unfortunately it escalated at such a fast pace that before you know what happened, it hits you in the face.

"It should not have been allowed to escalate like that but it did and the situation gets worse by the day. Financially now it is not a good situation because the fans are staying away. The club needs revenue to survive.

"I guess with having played seven games now I think it is a situation which is not a very pleasant one and I suppose it is my bosses, the owners of the club [Venky's], who have to make an assessment."

Despite the uncertainty Kean looks likely to stay in charge for Saturday's match at Charlton. Kean was appointed as Blackburn manager in December 2010 following Sam Allardyce's dismissal and after the side avoided relegation on the last day of the 2011 season, they finished 19th in 2012 and went down.

The 44-year-old Scot has faced pressure throughout his time in charge, with large numbers of fans calling for him to be fired. Venky's discussed Kean's role over the weekend, with fans once again chanting for the manager to be sacked after Friday's home defeat by Middlesbrough.

The uncertainty around his position comes as two fans' groups – the Blackburn Rovers Supporters Investment Trust (BRSIT) and Blackburn Rovers Supporters Trust – joined forces to launch the Rovers Trust – a new membership scheme whose goal is to purchase a stake in the club.

The Rovers Trust is aiming to sign up fans for a £10 annual membership fee, to give the group credibility. The membership push will then be followed by a share-raising plan modelled on the "pledge scheme" first launched by BRSIT this year. That has seen almost £3m pledged by supporters wanting to buy a £1,000 share in a new ownership model.

A target of £10m is being set by the co-chairmen, the BRST founder Oliver Jones and Wayne Wild, one of the co-founders of BRSIT. "Our principal objective is to obtain full or part ownership of Blackburn Rovers and its assets on behalf of fellow supporters in order to represent supporters' views whilst protecting the club's short- and long-term future," Jones said.