The Hollyoaks actress, who married Minton in May, told Reveal that she is "very busy" concentrating on her career.
"We're both very busy, we never stop, so we can't fit it in," she said. "But, when the time is right, and if we're blessed enough to have a child, then hopefully one day we will."
The couple recently launched a new multivitamin soft drink for diabetics, called Vitzer.
Merna, who plays Carmel McQueen, added: "We've not long got married, and our wedding was fantastic. We had some great friends and family who shared it with us as well.
"I joined Hollyoaks when I was 23 and it was like the university experience for me.
"It's so intense filming 12 hours that you don't have much other life so you do become very close, and they become your family."
Watch soap stars discussing their favourite storylines with Digital Spy at the Inside Soap Awards below: