Inputs can usually handle some voltage overload without damage, especially if that overload is < 20V. It's the output levels that can overload the amplifier, and speakers.
In this case it sounds like your DAC is 0.2V less than the maximum input, so all should be well. Assuming you input 6.5 V, the signal would clip (distort), but so long as your integrated's volume control is down that will sound bad, but not damage anything.