Termination Of Employee During Probation Period

Hello Everybody.
I need your advise
We have decided to terminate an employee with immediate affect due to non-performance plus behavioural and attitude issues. Our offer letter states that during probationary period, if the employees services if found unsatisfactory he will be terminated by giving one month notice or Salary in lieu of notice.
My question to you is can i terminate this employee with immediate affect by giving him one month salary in lieu of notice without any legal consequences. The employee is in his probation period.
Thanks~

Dear Eugenie
Greetings!
If there is agreement that termination is warranted, employment should be terminated and the employee may be given one week's pay in lieu of notice of termination.

what ever the terms of employment be there before termination the facts behind the same sholuld be established and the employee should be given a fair chance to defend himself. so principles of natural justice is to be followed and then accordingly you may proceed.