Depends, only if you chose "minimum fuel climb".
From what I know (and that may not be much) aircraft usually climb "best profile". For an A320 that is 250kts below 10000ft (due to aTC restrictions), and then either 290 or 300 knots up to cross-over altitude (Mach Cruise = Climb Airspeed). A weight-optimized climb would maybe see different speeds. But with a jet, the sooner you gain altitude, the better for overall performance.