Could you be a little more flexible?

Meaning

Would you be willing to make some adjustments?

Examples

• John: I need the report by Friday, is that possible?
• Alice: I'll try my best, but it's a tight deadline. <b>Could you be a little more flexible</b>?
• John: Hmm, maybe Monday then?
• Alice: Monday works for me. Thanks for being understanding. I appreciate your <b>flexibility</b>.