The Mass Effect: Andromeda patch (1.08) sketched out by BioWare the other day will be released tomorrow, 8 June. A twitter post from the Mass Effect account states that their servers will be down from 8am (Pacific US) tomorrow for around one hour.
In reply to somebody asking whether this means the patch is coming tomorrow, the BioWare account user replies that it does. It’ll presumably start rolling out after the servers come back around 9am Pacific.
If you missed what’s in patch 1.08, have a read of this post. In short, more character customisation options, a way to change the appearance of Ryder while on the Tempest (so, mid-game), and a saucy new space romance between male Ryder and Jaal.