The 68-year-old actress, who also appeared in Oldman's 1997 movie "Nil by Mouth", filed bankruptcy paperwork with the High Court in London earlier this month after falling into financial difficulty, reported Independent online.
Morse, real name Maureen Oldman, was officially declared bankrupt last week.
Laila now makes guest appearances in Albert Square after her regular contract with the BBC reportedly ended last year.
Laila has a son, who has been addicted to heroin for a number of years and in her autobiography, published last year, she told how she would give him money because she could not bear to see him in pain as he craved the drug.
Former star Martine McCutcheon did the same earlier this year with debts of 187,000 pounds.