Whether to spring for Mesa tubes or use the JJ's is up to you, but, without checking the bias with the JJ's installed there is a couple of things you can look at to ascertain they can safely be used.
1) the most important: are the tubes redplating at any time from no signal through to full tilt when playing through the amp. To help you recognise what redplating looks like here's some pics

Above we can see the plate (large grey structure) starting to glow red (a little).

Above we can see the plates glowing a good bit more. Note in the pics above that it is glowing near the seams of the plates.

Above we see the tubes really redplating. These tubes will fail in very short order if run like this.
All pics show tubes "over biased" or biased too hot. An overly hot biased amp will often hum excessively.
2) Does the amp output it's full rated power (is it as loud as it was with original power tubes). Is there any nasty sounding distortion when playing the amp at a decent volume "clean" (crossover distortion). An amp that is "under biased" or "cold biased" will lack power & often produce nasty sounding crossover distortion.
So long as the amp is producing it's full rated output with no nasty distortion & the power tubes aren't redplating at any time you could consider it to be biased ok.
To expand on biasing, most amps with two or more output tubes are run in what is called "class AB". To safely bias for class AB we need the tubes to drawing a "minimum" idle current of 50% of the tubes "maximum plate dissipation" (the maximum current that the plate can safely dissipate the heat of), & a "maximum" idle current of 70% of the tubes "maximum plate dissipation.
You can see from this that we have a bit of leeway. Anywhere between those two parameters (50% ~ 70% of maximum plate dissipation) is ok.
Again, if the amp is properly putting out its full rated power & the power tubes aren't redplating at any time you could consider that they're biasing in between those two parameters & so good to use. Hope this is understandable & of help. Cheers