Can I down tune my Axis without the intonation going out of whack?

I’m pretty clueless with regards to setting guitars up etc. Currently my Axis is in standard tuning (Ernie Ball regular slinkys 10s), but my band wants us all to play in E-flat. I’m worried that putting all my strings down a half step is going to through the intonation out/cause other problems, due to the floyd rose. I can’t find much information about doing this with top-mounted floyds. I know it would cause problems with recessed floyd guitars, but what about top-mounted?

I recently had it set up professionally, so I don’t really want to pay for another set up..

Thanks in advance!