For copy protection reasons, some software requires you to prove you have the actual disc during the install.
The easiest way to proceed and most likely to work is with a USB optical drive. You only need one of those and can use it on any computer when needed. More complicated is mapping a networked optical drive to a letter on your laptop. As you obviously have an optical drive somewhere to be able to copy files off DVDs, virtual drive software on the laptop to mount a virtual DVD drive is also an option--in that case you'd need to rip the discs to .iso but that is least likely to work.