It is always better to have relieving certificate from a company where you worked for some time and coming back. But in your case, it is only a one-month experience. Did the company give any appointment letter and what are the terms and conditions? Are you having all the original certificated with you? When you applied for a post in a bank did you mention anywhere that you worked in a company for one month and claimed that experience, These are the issues you have to study?
In your case,
The tenure of your work is just one month and it may not add any value to your candidature. So you need not mention anywhere that you worked for one month. Actually mentioning that worked for one month and discontinues may give some negative thoughts to the employers. So it is better to be silent and better not to mention this experience in your CV.
I hope that you have all your original certificates of educational qualifications, nativity, date of birth etc with you and you have not submitted anything in original to the textile company in which you worked.
Did you mention about your job in the application of this job? If you mentioned that you are working in that company at the time of your application, then the bank may ask for the relieving letter. If you have not mentioned, they may not ask you the relieving the certificate.