Security+ is a good cert but unless you are required to get that specifically and you are set on taking the CISSP at some point, I would suggest you go for your SSCP instead?
I have taken both the Security+ and SSCP. The SSCP was a bit harder but similar in what knowledge is expected as a practitioner. Security+ may require slightly more challenging network knowledge but I took it within 2 weeks of passing and getting my Network+ certification and recall that being near critical. However, the SSCP requires at least 1 year experience so may carry more weight to it for hiring managers that are aware.
I also think the SSCP is less expensive than Sec+ (249 vs 349?) and will help you get accustomed to the ISC2 format and become a member (after being endorsed and accepted). ISC2 membership is expensive though so may be a wash. CompTia exams IMO are very different from ISC2 exams. Not to belittle the CompTia exams but IME, they require you to just know the answers (quickly) while the ISC2 exams require you to think a little more critically about best answer selection. The latter infers experience and knowing beyond the memorization of facts from the domains.
The time you are given is also a big difference as CompTia gives you about a minute per question (90 questions in 90 minutes) and they have some simulation questions ("performance based" is what they call it) that do require you to think through and process lab like scenarios (usually 4-5 questions). SSCP gives you 3 hours for 125 questions and will be more focussed on how you would solve for problems with the skills you have as a practitioner that understands the domains from the SSCP.
Not trying to talk you out of Security+ but just trying to provide some hopefully helpful insight into the SSCP.
Good luck!
