The 'constant torque' wording is a misnomer. Available torque does not stay constant, but drops off with V/Hz squared.
On the other hand, cooling gets better when speed is increased. So, for a limited region above base speed, one can say that available torque is constant from a thermal point of view. But sooner or later (and dependent on NEMA Class) you will hit peak torque, which is also V/Hz squared dependent.
Say that you have a Class A motor, your peak torque will then be 2.7 times rated torque. So you can increase speed to sqrt(2.7) times base speed before hitting the peak torque. That corresponds to around 65 % above base speed.
But then, your slip will be in the order of 20 percent (huge) so your rotor heat will be immense. And the improved cooling due to higher speed will not help.
I am afraid you will have to understand all these subleties before deciding what speed increase is available. And, please note that NEMA B and C are a lot worse when it comes to peak torque. So you will not be able to run anywhere near 65 percent overspeed. A more realistic speed limit would be around 40 percent.
If, however, you can limit torque to half the rated torque (which seems to be a possibility when the egoutteur is in contact with the wire and stock) then you can probably go to 65 percent overspeed.
In my world, an egoutteur is driven lightly in order to avoid any force between its surface and the wire. So, it should be possible to run with minimal torque.
Drives are complicated sometimes and there is no YES/NO answer. You have to consult someone that does this for a living - or play it safe and specify a new drive and motor. Probably cheaper that way.
Gunnar Englund
--------------------------------------
100 % recycled posting: Electrons, ideas, finger-tips have been used over and over again...