Swansea released a statement after Rodgers was presented as the new Liverpool manager to counter speculation that a trio of Swans - midfielder Joe Allen, defender Ashley Williams and full-back Neil Taylor - are transfer targets.
Jenkins has made it clear that Liverpool have agreed not to raid the Liberty Stadium for playing talent to follow Rodgers to Anfield.
The former manager has already taken coach Colin Pascoe, assistant performance analyst Chris Davies and performance consultant Glen Driscoll.
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