I dived a tad a deeper and came up with this...
https://www.washingtonpost.com/wp-srv/politics/special/clinton/stories/senaterules.htm
Above are the rules the senate used at the start of the trial of Pres. Clinton
The Senate voted to change rules as Pres. Clinton’s trial progressed.
Mitch wants to use the Clinton rules. If he does, the senate back then voted for no witnesses on the floor of the senate, among other votes.
Here’s the transcript of the Clinton trial - fascinating read...
https://www.washingtonpost.com/wp-srv/politics/special/clinton/stranscripts.htm
Nothing in the transcript indicates they voted to receive the House managers. Where I came up with the senate voted, I have no idea I apologize and I take it back.