What intel does Caesar get? Just "someone will try to kill you in the Senate house"? Or does he get some names? One problem is that some of the conspirators were men he trusted, notably Brutus. If he doesn't know who will strike, he may ask them to guard him.
If he knows who the plotters are, then he knows who they aren't. He can then get some genuine loyalists to serve as a covert escort. Basically, they stand near him, and get in the way when the conspirators try to rush Caesar. Also perhaps have some lictors or other armed guards standing by out of sight.
IIRC, one of the conspirators approached Caesar to plead for a petition; some others crowded behind as if in support; then when they got close, they rushed him with knives out.
If Caesar is alerted: he directs his friends to keep back the others when they try to close. When the knives come out, the friends have their own knives; also perhaps gauntlets or bucklers concealed under their togas; enough to hold off the conspirators while Caesar retreats to safety. The petitioner may still get a strike in, but the risk is vastly reduced.