The answer to this will always depend on your institutional circumstances, but is likely to be yes, at least for the short term.
Some databases stubbornly resist migration to the Web.
At City University, with a Journalism Department, access to electronic newspapers is essential. Another reason for maintaining a CD-ROM subscription is that some customers may not be entitled to use the institutional Internet connection. At City University, for example, funding situations for some students attending our School of Nursing won't allow them Internet access. This created extra work for both library staff and users, and exposed the CD-ROMs to the risk of damage or theft. It became imperative that this system be replaced by a networked solution.