Rounds Green will reopen on May 15, Brandhall on May 18, Hamstead on May 19 and Oakham on May 21, following the reopening of Great Bridge Library yesterday on Wednesday, May 12.
It means 15 libraries will be open for services across the borough, although restrictions will still be in place.
Customers can reserve items by going to the Sandwell Council Libraries online service or by phoning one of the libraries.
Library staff will contact customers when items are available to arrange a date and time for collection.
Library users have to order books and other items before being told their collection date, as libraries are not yet open for general browsing.
A number of computers are also available, for uses such as in each of the libraries, including printing, which need to be booked in advance by phone.
Everyone using Sandwell libraries is asked to wear a face covering, to keep two metres away from others and to use the hand sanitisers provided and wipes will be provided for computer users.
Further announcements will be made when other Sandwell libraries are able to re-open.
All items that were borrowed before the first lockdown have had their due date extended to June 30.
To find out more about the services available and the opening times of libraries around Sandwell, go to sandwell.gov.uk/info/200261/libraries/871/news_and_events