Using 'in the current moment' or 'at the living moment'?

I'm having a discussion with someone online and it takes each of us a day to respond, so I told him 'We should converse at the current moment instead of after a few days', would there have been a better way to say this?

Solution 1:

The expression you're looking for is real time:

[Merriam-Webster]
: the actual time during which something takes place
// the computer may partly analyze the data in real time (as it comes in)
— R. H. March
// chatted online in real time

So:

• "This is taking too long. We should have a real-time conversation."
• "I don't like waiting to hear from you. We should talk in real time."