Switch to standby, change the code, THEN switch to Mode C please.
fweeep is right thought. If I ask somebody to "ident" it is because I need it for identification. If somebody else is "ident"-ing unasked at the same time (even in an adjacent sector) I have to do it again or do something else (like a 30 degree turn), so it is in everybody's interest to minimise the identing that goes on.
We see a lot of spurious (?) "ident's" on our system (EUROCATS 2000), often wonder if some pilot has his elbow on the button or if it is a glitch.
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"Station calling Centre, grow a head..."