Specifications of 9x39mm
Parent case 7.62×39mm
Case type Rimless, bottleneck
Bullet diameter 9.25–9.26 mm
Land diameter 9.00 mm (0.354 in)
Neck diameter 9.98 mm (0.393 in)
Shoulder diameter 10.36 mm (0.408 in)
Base diameter 11.35 mm (0.447 in)
Rim diameter 11.35 mm (0.447 in)
Rim thickness 1.50 mm (0.059 in)
Case length 38.76–38.78 mm
Overall length 56 mm (2.2 in)
Specifications 7.62 x 39mm
Case type Rimless, bottleneck
Bullet diameter 7.85 to 7.9 mm
Land diameter 7.62 mm (0.300 in)
Neck diameter 8.60 mm (0.339 in)
Shoulder diameter 10.07 mm (0.396 in)
Base diameter 11.35 mm (0.447 in)
Rim diameter 11.35 mm (0.447 in)
Rim thickness 1.50 mm (0.059 in)
Case length 38.70 mm (1.524 in)
Overall length 56.00 mm (2.205 in)
You'd need a chamber reamer and a bore reamer. If the SKS barrel is pressed into the receiver, good luck getting it off without damage. Secondly, remember the barrel walls are optimized for light duty firing cycles (by expendable peasants). Do you want to take that risk?