Yes, you can use the simple present. The meaning doesn't change for the example.
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I'd better hurry. It's nearly 8 o'clock. I am supposed to be meeting Tom at 8.15.Q: Can I replace ...supposed to be meeting... by ...supposed to meet... in the third sentence? If I can, will the modified version be different from the original one in meaning?mus-teI agree that using "supposed to meet" in the third sentence will not change the meaning in your situation. But