The actress said that she would like her character to show the qualities she displayed when she took on Silas Blissett in last year's serial killer storyline.
Hassan told Inside Soap: "I was looking over some old clips with our producer recently, and we enjoyed seeing Lynsey show real gumption during the Silas plot.
"So I've asked for more of that, and hopefully we're going to see Lynsey being a bit selfish and standing up for herself. She's going to start doing what's best for her, and not give a hoot about what anyone else thinks."
Next week's Hollyoaks episodes see the start of Lynsey's new romance storyline with Riley Costello (Rob Norbury), as the pair embark on a secret relationship.
However, Lynsey could be heading for trouble as Mercedes McQueen (Jennifer Metcalfe) and Mitzeee Minniver (Rachel Shenton) are also still interested in the footballer.
Hassan said: "Lynsey's quite happy to keep things a secret between her and Riley. But Mitzeee finds out quite early on, and Lynsey's on the receiving end of a lot of jealousy.
"She doesn't want to go head-to-head with the other two girls, but she's not going to step aside either."
Hollyoaks airs weeknights at 6.30pm on Channel 4 with a first look screening at 7pm on E4.
> Hollyoaks' Karen Hassan teases Lynsey, Riley spark
> Hollyoaks' Rob Norbury: 'Mitzeee ideal for Riley'
> Read more Hollyoaks spoilers and news