Is there anything unusual about your case cooling or about where you store your case? Or is the location where you run the new system warmer than usual?
If that's no, the stock CPU cooler will be fine.
If there is something unusual about your case or operating location you'll want to monitor your system temps. Those will tell you if you're stock cooler is doing well enough.
What made you decide I got no fan in my case? I got 2 on my shrakoon t5 black value
I believe he actually meant IF your case has no fans.
Anyways, You'll fine with stock cooling. Even if your ambient is high, your CPU should still be below the max safe temp.
Which is probably 80/85c.
If it gets hot, i.e 80c + then you could always opt for an aftermarket Heatsink.
preferably the hyper 212+