The 040 and the 060 doesnt have exactly the same pin configuration, see the usermanuals:
68040 User Manual68060 User ManualThough it is absolutely possible and proven that a turbocard which can handle both the 68040 pinout and the 68060 pinout can be done as the changes isnt major. But the turbocard must be designed for it, a card not designed for both the processors cant be up or downgraded easily.
If I dont remember wrong the Blizzard1240 was marketed as "68060 upgradable" so a new oscillator and a voltage-regulator should hopefully do the job, but dont forget to check for possible jumper settings on the Blizzard1240 which might have to be changed to upgrade successfully.
Good luck!
/Patrik