Speckman was one of four players added to the wider training group based at the Stellenbosch Academy of Sport.
Nardus van der Walt and Shaun Adendorff (flankers) joined their Blue Bulls colleague Sampie Mastriet in the training squad last week, which also included Golden Lions flanker Kwagga Smith.
EP Kings fullback Siviwe Soyizwapi was another squad newcomer.
The Dubai Sevens would take place on November 29 and 30 in the United Arab Emirates and the Nelson Mandela Bay Sevens tournament would follow a week later on December 7 and 8 in Port Elizabeth.
As part of their preparation for Dubai and PE, the squad would be taking part in several training matches over the next two days against the local universities of Stellenbosch (Maties), Western Cape (UWC) and Cape Town (UCT).
Meanwhile the trio of Paul Delport, Seabelo Senatla and Branco du Preez were continuing with their rehabilitation, with only Du Preez likely to be considered for the next two tournaments, depending on how his trouble hip responded to treatment.
Veteran Delport was recovering from knee surgery while Senatla nursed a troublesome back.
The Springbok Sevens squad: Chris Dry, Philip Snyman, Frankie Horne, Kyle Brown, Justin Geduld, Stephan Dippenaar, Paul Delport, Steven Hunt, Seabelo Senatla, Jamba Ulengo, WJ Strydom, Werner Kok, Cecil Afrika, Mark Richards, Ruwellyn Isbell, Kwagga Smith, Nardus van der Walt, Shaun Adendorff, Sampie Mastriet, Branco du Preez, Tshotsho Mbovane, Siviwe Soyizwapi, Rosco Speckman.