The race for Glenda Jackson’s coveted Hampstead and Kilburn parliamentary seat has begun.

Members of the local Labour party met on Tuesday to begin the selection process for one of London’s most hotly contested constituencies - which has been named as one of the party’s all-women shortlists.

Highgate councillor Sally Gimson, who unsuccessfully stood for the parliamentary seat of South Leicestershire in 2010, has confirmed that she has put her name forward.

It is thought she will be joined by fellow Camden councillor Tulip Siddiq, who represents Regent’s Park ward and is cabinet member for communities and culture.

Hackney councillor Sophie Linden is also rumoured to be throwing her hat into the ring, while leader of Islington Council, Catherine West, has confirmed she will be challenging Lynne Featherstone for the Hornsey and Wood Green seat.

Earlier this week, education campaigner Fiona Millar revealed she was pulling out of the race to be included on the Hampstead and Kilburn shortlist and would instead continue campaigning on schools issues.

Labour Party sources say the selection process lasts for a number of months – with a final candidate due to be announced in July.

Conservative party co-chairman Grant Shapps also confirmed earlier this year that the seat is at the top of the Conservative target list to win at the 2015 general election.

The Tories have already selected Hampstead Town councillor Simon Marcus as their candidate to contest the seat.

In January, Oscar-winning actress Ms Jackson, who has been the MP for the constituency since 1992, confirmed she would not be standing for the marginal seat again.

She won in 2010 with a majority of just 42 votes – the narrowest margin in the country.