I would not mind some myself

[LIUSU]

Hello,everyone!
I can not understand the exact meaning of the fowllowing sentence in bold.
This is the context.
A:'what are you going to have to drink ?'
B:'I would like something cool'
A:'Would you care for some cake?'
B:'Yes,I will try a piece of cheese cake.'
A:'It certainly looks tempting.I would not mind some myself.'

Thank you in advance for taking the touble to answer this question.

[Rover_KE]

'I would like a piece, too.'

Rover