The opening batsman did not even undertake a test, insists the co-hosts' team manager Brian Thomas.
Sri Lanka deny Tillakaratne Dilshan failed drugs test
Reports had suggested the 34-year-old had returned a positive test, but Thomas says the player did not even undertake one.
"The only two cricketers who underwent the test included [batsman] Chamara Silva and [spin bowler] Ajantha Mendis," Thomas told espnstar.com.
"These are all rubbish going around the media here. These are all false reports."
Shane Warne, the former Australia leg-spinner, is the only player to have failed a drugs test at a World Cup, having tested positive for hydrochlorothiazide and amiloride in 2003.
Sri Lanka face Zimbabwe in their latest Group A clash tomorrow.