The widow of Independent MP and AM Peter Law, who died last week, is considering fighting one of his seats.
Trish Law supported her husband throughout his political career
Mr Law, who already represented Blaenau Gwent in the Welsh assembly, also became its MP last year after standing against his old party, Labour.
Scotland Yard is examining claims - which are strongly denied by Labour - that he was offered a peerage to stop him standing in the general election.
Trish Law was giving standing "serious consideration," said Mr Law's agent.
Her husband who had been a Labour AM since the launch of the Welsh assembly in 1999, took on the party in 2005.
He decided to stand as an Independent in protest over Labour's all-women candidate shortlist to replace the retiring MP.
Expelled by the party of which he had been a member for more than 30 years, he overturned its 19,000 majority to take Labour's previously safest Welsh seat, claiming a 9,000 majority of his own.
At the time, Mr Law was seriously ill, having just been diagnosed with a brain tumour. He died last Tuesday, aged 58.
Dai Davies, Mr Law's agent, confirmed on Sunday that Mrs Law was considering standing as an Independent in either of the by-elections for Westminster or the assembly.
'She has given it serious consideration. she's still considering it... the family have talked about it," Mr Davies said.
No decision would be made before her husband's funeral in Ebbw Vale on Thursday, he said.
Peter Law overturned the largest Labour majority in Wales
Mr Davies is also considering whether to stand himself in either of the vacant seats.
But he said he would be advised by the Blaenau Gwent People's Voice Group, the coalition which supported Mr Law.
All the major parties have said that they will field candidates in both by-elections. No decisions have been made on their date.
Last week Mrs Law told BBC Wales' Dragon's Eye programme that her husband was asked by a senior Labour figure not to stand as an MP in Blaenau Gwent, and that he was offered a peerage in return.
But Labour said that was "'categorically not true" and Welsh Secretary Peter Hain wrote to the Conservatives denying emphatically that he had offered the honour.
Mr Hain wrote to Cheryl Gillan, the shadow Welsh secretary who has called on Tony Blair to hold an investigation: "It is a straight lie for anyone to claim that I had such a conversation"
Meanwhile, Scotland Yard detectives who were already looking at claims of cash for honours have said they would be "reviewing" the allegation that Mr Law was offered a peerage if he refused to stand.