Visiting guidance at Shrewsbury and Telford hospitals has been updated.
The NHS Trust has announced some maternity and fertility wards will now allow a named partner to attend with patients.
Visiting restrictions have also been eased at the antenatal and neonatal units as well.
Maggie Bayley, Interim Chief Nurse at SaTH, said: “We have been looking at how we can safely ease the restrictions that were put in place during to the COVID-19 outbreak to keep our patients and staff safe.
“We are very pleased we can make these immediate changes to visiting, however we are not yet in a position to lift all restrictions.
“We would like to say thank you for the understanding shown by those using our services during this difficult time and to reassure them that we are constantly reviewing the restrictions we have in place.”