Sparks, which stands for Sport Aiding Medical Research for Kids, is one of six charities competing to win the vote by the staff, which will take place this month.
Tomlinson was the char- ity's vice-president. Morrisons, which has its headquarters in Yorkshire, is the sponsor of the 2008 Leeds 10k run, organised by her family.
Colin Middlemiss, communications controller at Morrisons, said: "Once we have a partner, we will build a campaign around its objectives."
Paul Connew, director of communications at Sparks, said: "Jane was the biggest individual fundraiser for Sparks and we would like a charity that is so closely linked to her to become Morrisons' charity of the year."