Those incredibly cheesy "adjustable lally columns" are really rinky dink. Will it hold the beam? Yes. Will it eventually rust out or fracture? Yes.
You should never screw in a support post to a beam. Yes, I know there are all kinds of inspectors out there who say you should and even code saying you should, but those people are just totally ignorant about how physics works. The loads on those columns start at 5,000 pounds and go up to 30,000 pounds or more. A screw will do absolutely NOTHING to secure that column. Any kind of load against the screw will tear it out like the beam was made out of tissue paper. So do not screw into anything. All you will do is weaken the girder.
You should replace the adjustable column with a real lally column and use a heavy duty cast iron plate, not one of the cheap steel plates. The cast iron caps are sometimes sold as "Springfield caps". They look like this:

Notice how it is 1/4" cast iron NOT steel. Do not use an "adjustable" lally column. Have the column cut to the exact length needed, filled with cement, then capped. You then jack the girder 1/8" up, slid the column in place and lower the jack.
Don't believe the idiots who say that you have to screw in some lally column otherwise somebody might knock it out. There is TEN THOUSAND POUNDS on that column. Trust me, they are not knocking it out. And if they could knock it out, then structurally it is unsound to begin with. I have heard inspectors say crazy stuff like, "earthquake tremors could vibrate the column out unless it is secured with screws". This is just total BS by bozos who know zero about engineering or physics and are talking out of their butts. Do you ever see screws in ancient Egyptian temples? No, and there is a reason for that.