Captain Steve Tikolo says Kenya must play top teams more regularly if they are to improve on their World Cup showing in four years' time.
Tikolo was Kenya's outstanding performer in St Lucia
Tikolo's side were knocked out after defeat to England in the group stage.
"I've been saying since time immemorial, you can't come here [and compete] without playing at this level consistently," he said.
"We have the Twenty20 World Cup in September. Between now and September there is nothing for us."
Since reaching the World Cup semi-finals in 2003, Kenya have brought several young stars into the side.
They put on an impressive display in their opening match against Canada but were outclassed by New Zealand in a 148-run defeat and England cruised past them with seven wickets in hand in Saturday's final game.
If you want the associate countries to come through you need to give them more games
Speaking after the defeat to England, Tikolo said: "We just didn't make enough runs on this track.
"We lost wickets at regular intervals, but we couldn't put any partnerships together and that was our downfall.
"I think our bowlers competed at this World Cup. We came here with a young team and we need to build on this - we just need more games now.
"Our board has been talking to the ICC but the Test teams are busy with their calendar," he said.
"If you want the associate countries to come through you need to give them more games."
Tikolo, 35, extended his lead as Kenya's leading scorer of all time with a composed 76 against England.
And he hopes to still be in the side when the World Cup takes place in Asia in 2011.
"We'll see how my body goes but I want to play for Kenya for the next few years and see this team grow into a good unit," he added.
"I would have been happier if the team had done well. The team goal is more important than personal landmarks."