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Gloucester, London Wasps, Northampton Saints and Sale Sharks have guaranteed their places.
The remaining two spots will go to either - Bath Rugby, Harlequins, Leeds Tykes, Leicester Tigers or Saracens.
Click here for the RFU's qualification criteria
Here are the potential qualification scenarios...
Gloucester, Wasps and Northampton have all qualified by finishing first, second and third in the Zurich Premiership table.
But because Gloucester are 'multiple qualifiers', having already won the Powergen Cup, automatic entry is extended to the team finishing fourth in the table - meaning Sale are also in.
If Bath win their PARKER PEN CHALLENGE CUP final against Wasps on 25 May, they will take the fifth qualification place.
But as Wasps have already qualified through the league, if they win the Parker Pen Cup, the fifth entry place will be awarded to the Premiership's fifth-placed team - Leeds.
The final Heineken Cup spot goes to the winner of the Zurich Wildcard play-offs, the final of which takes place on 31 May. The play-offs feature the teams finishing fifth to eighth in the Premiership table and see Leeds play Saracens and Leicester face Harlequins in next week's semi-finals.
However, there remains the possibility that the Zurich Wildcard final could end up a dead rubber if it features Leeds and Leicester with Wasps having already won the PARKER PEN CHALLENGE CUP.
PERKER PEN CHALLENGE CUP victory for Wasps would give Leeds a Heineken Cup place through their league finish, thus ensuring Leicester also qualify whatever the result of the final.
