Kent coach Jimmy Adams says it is proving difficult to find another overseas player for their T20 campaign.
West Indies veteran Brendan Nash, in his debut season in England, is currently Kent's only foreign player.
Adams told BBC Radio Kent: "It's becoming ever more of a challenge. It's an ongoing process.
"We'll do what we can up to the point that the tournament starts. Hopefully there will be a solution. We'll have to monitor that one very closely."
Kent, who were without any overseas player last season but recruited Wahab Riaz and Charl Langeveld for the FL t20 tournament, begin their group schedule at home to Sussex on Tuesday 12 June.
Meanwhile Adams has praised the resilience the side showed in their County Championship draw with Essex.
Kent slumped to 9-5 in their first innings but rallied to a total of 225 before dismissing Essex for 181.
"You don't get a performance like that coming out of nowhere," Adams continued. "They are facing up to challenges and that bodes well for the future.
"We're getting performances right across the board, from young and old. Various players have shown they are up to it.
"Hopefully we'll continue to get these kind of performances not only from the regulars, but also the guys who come in occasionally."