You mean, the LiteOn DVD burner like this, and maybe aUSB2 to SATA kitlike this?
(This little USB-to-SATA kits can be flakey. I'd buy two and, if both work, then give one away to a chum.)
I'm not certain this will work, by the way. There are discussions in MyCE about putting Internal DVD burners into External Cases with varying degrees of success - and non-success. USB-3 might give a better thru-put speed but we seen TONS of USB-2 external DVD burners being sold so I doubt "USB 2 limits" are a reason for fault. The USB 3 versions of these 'kits' are $30-ish, but still have the same flakey possibilities and when I buy these, I indeed get an extra one. (I've had 100% success with the 8 of these units we've bought - alas, since none were purchased from NewEgg, I never left a response. But "DOA" is a common CON complaint on every type of these units.)
I currently only buy USB-3 versions because those are much quicker for HDD-file exchanges, not for DVD thru-put, however.
This thread's "INTO" title made me think of some of my original parts assembly techniques, by the way.