For 1988, Tyrrell was assigned RD member Aidan Keranen to drive the number 3 entry, while AI driver Julian Bailey was kept alongside the Australian. Keranen took a supurb pole at the first round in Brazil, something he was amazed with. The race didn't go as well, although Bailey pushed on and took 6th place, earning a point.
In Imola, an engine upgrade was found, while in quali Keranen pushed hard but was beaten to pole position by Old Wolf, while Bailey qualified 4th behind the second Williams of Patrese. Keranen exacted his revenge for the loss of pole, taking control of the race after Wolf was slowed after his pit stop. Keranen wouldn't be caught, winning the race while Bailey took the fastest lap, showing good speed although he could only muster 17th position.
Come Monaco and the team was riding high on success, and Keranen duly went forth to take a second pole position, lining up alongside newcomer Cristiano Mauri in the second Williams. Keranen counted himself lucky after nearly colliding with a marshal helping the stricken Minardi of Perez-Sala. This provided the third straight race that Tyrrell and Williams shut out the front row. At the start, Keranen got away well but soon lost two positions to Mauri and Prost. Keranen went on to record a 15th place, while Bailey was first out when his transmission seized up.
The somewhat disappointing run of form continued to Mexico. Both qualified down the order, and both were out of the race in the tricky conditions.
In the lead-in to the Canadian Grand Prix, Tyrrell announced it had drafted new RD member Tobi Kederer to replace Bailey in the #4. Keranen soon after announced his excitement at a second RD driver in the team, while also paying tribute to Bailey. Keranen qualified well for third place on the grid, Kederer struggled in the car, achieving 19th. For both however, the race was far better. Keranen was racing well when the Benettons collided, and soon inherited first place when Boutsen slid off. Eventually being caught by Márk Lintner, Keranen finished in 2nd place, while Kederer put in a marvelous effort to bring the #4 home in 9th place, up 10 spots.