The 32-year-old is out of contract at the end of the season, but hopes the next 12 months are not his last at the club.
Mullins is happy and settled at Pompey and with the club moving in the right direction, is keen to remain as long as possible.
The ex-West Ham man claims talks have taken place and he hopes to have his future resolved before the season gets underway.
"I'm going to speak to the gaffer about a new contract and we can sort something out before the beginning of the season," he told The News.
'I would definitely like to stay. The club is going only one place at the moment and that is up. With the management, the players coming in now and the owners, it's a great place to be.
"We've discussed bits and pieces about a new contract. A few conversations have taken place but nothing really major.
"Hopefully, before the start of the season something will be sorted."