With your existing connections, you're proposed method would only work if the TV provided an
output signal as well as an input one. With the obvious exception of sound signals alone (sent to external speakers or a sound bar) I've never come across any TV set that can provide an output signal (containing both video and audio). So I can't see your suggested method working.
I assume that the 'DVD player' in your post is actually a 'DVD recorder' (otherwise you can't record anything at all with it). To record your VHS tape onto DVD you need to connect the output of your VHS recorder to the auxiliary input of your DVD recorder.
Without knowing the type of connections offered by both devices, it's impossible to tell you for certain what type of lead you'd need but, since most VHS recorders have Scart outputs and many DVD recorders have RCA ('phono') inputs, it might well be a Scart-to-phono lead that you'd need. e.g.
https://www.ebay.co.uk/p/1-5m-SCART-to-RCA-Triple-3-X-Phono-Cable-Composite-Audio-Video-Lead-Gold/16015256667?iid=372228290557
Then you'd need to tell the DVD recorder to record from 'Aux', 'Ext' or whatever other name it uses to refer to a signal from its auxiliary input sockets. (i.e. you'd be telling it to ignore the TV tuner that's built into it and to take a signal from an external source instead).