That looks like the type of thread which is used in more modern machines, where the spool lies tilted over and the thread is pulled of upwards, without the spool rotating.

I use enormous spools of thread too large to fit onto the spindles on the machine, also intended for the thread to be drawn off upwards.

What I do is place the spool behind the machine below the spindle, then place an empty lower thread bobbin on the spindle. I bring the thread up, lay it into the bobbin so it is between the spindle and the back of the machine casing, then thread the yarn as normal.

The yarn is then drawn off the spool as intended, and the bobbin on the spindle protects the plastic from the friction of the moving thread as it is drawn off.

It saves time and is more economical than using the small spools, but as long as the spool you have will stand upright and not dance around then you can use that sort of spool.

You could always stick it down with tacky putty.

If the bobbin will not cooperate and the thread will not feed off properly, fill up some of the lower thread bobbins with it, then just drop one onto the spindle to use for top thread. You can hold the bobbin horisontally behind the machine so the thread is drawn off as it wants to be.

I have several dozen bobbins, as it is one of those rules that no matter how many bobbins you have you never have one with the colour of thread you want to use on it.

I keep them in a multi compartmented case - I have two identical ones, the other is for the collection of 'feet' for different types of sewing.