The Football League clubs currently get £90m over three years with clubs like Coventry City in the Championship getting over £1m. However, Triesman feels that this is not enough.
Speaking at a Sport Summit in London, Triesman told the Press Association: "There needs to be a greater equality of resources available to the individual clubs, if you have huge disparities in resource you are going to have significant differences in the quality of the playing staff.
"The Premier League to its credit does distribute money but it is only a degree of equalisation. "You could imagine greater solidarity payments between different parts of the system.
"One of the things that concerns me a great deal is the financial frailty as you go further down the pyramid through many clubs which are absolutely integral to their towns."