ANSWER
Unfortunately, No, Sprinter  Will NOT  work  with ALM-''Performance Center  11 Edition''  and  when you try to  connect all you will get in a popup dialog windows  stating :
		''Failed to connect to HP ALM
		
		Your HP ALM edition is not Supported''
Sprinter functionality IS available with: 
 - HP Application Lifecycle Management 11.00
 - HPALM QualityCenter 11.00 Enterprise Edition
It is NOT available/supported with: 
 - HP ALM Quality Center 11.00 Starter Edition
 - HPALM Performance Center 11.00 Edition
And currently for HP ALM 11.5 editions  Sprinter functionality is available with: 
 - HP Application Lifecycle Management 11.50
 - HP ALM Quality Center 11.50 Enterprise Edition''
And is NOT available/supported with 
 - HP ALM Quality Center 11.50 Starter Edition
 - HP ALM Performance Center 11.50 Edition.