You don't really need to worry.
And pl don't get into a situation of your current Employer beginning to avoid you.
Bank Statements are valid Proof of salary.
And even the Appointment Letter....IF you have one....can be used as Salary Proof--though some Companies don't consider this.
And when you take the Experience Letter, request your Company to include the last salary you got.
Many small Companies give a Single Letter summarizing the experience [worked From-To & Designation & last salary drawn].
All the Best.
1st May 2016 From India, Hyderabad