Jimmy's Cambridge says its current lease for one of its premises runs out in 2032.
The Hub in Goole is run by volunteers from the charity Help the Homelezz.
Two of the more than 100 participants in last year's trial ended up being selected for England.
Staff at the shelter say they need to prioritise the winter months when homelessness can be fatal.
The Homelessness Delivery and Implementation Plan hopes to create a collaborative approach.
Alex McIntyre said numbers "appear to be increasing" despite a £2.8m government boost to reduce them.
It is estimated that a third of Blackpool's rough sleepers move from elsewhere in the UK.
The service run by Harbour offers a safe place and activities to help women rebuild their lives.
Jade Husdan-Hicks was made homeless at 17 when the relationship with their family broke down.
