It is an interesting problem although not all of the research finds a link. For example in

Macey, J., & Hamari, J. (2018). Investigating relationships between video gaming, spectating esports, and gambling. Computers in Human Behavior, 80, 344-353.

They found:

The primary finding of this study are that contemporary video games are not, in themselves, associated with increased potential for problematic gambling, indeed, the position that problem gaming and problem gambling are fundamentally connected is questioned.

and

Forrest, C. J., King, D. L., & Delfabbro, P. H. (2016). The gambling preferences and behaviors of a community sample of Australian regular video game players. Journal of gambling studies, 32(2), 409-420.

The present study examined concurrent video gaming and gambling habits in a sample of regular video game players in Australia (N = 485, 84 % male, M age = 25.8). Gambling involvement was found to be a generally unpopular activity among regular video game players. No significant association between frequency of video game play and frequency of gambling was found. Although significant correlations between gaming ‘addiction’ scores and gambling frequency were identified, age was the only significant predictor of gambling when controlling for all remaining variables.

Having said that, I'm sure we could find studies saying the opposite.