Military chips (and radiation resistant ones for space) do not need to be of the leading generation like commercial ones do. China has long been self dependent on these types of chips. Russia, I would not be surprised if they too are mostly self dependent.
Maybe there are some technical reasons why some commercial satellites require more modern chips that approach or are of the leading generation but Russia like India, does have a basic state backed chip research and at least in India's case, even fabrication. This isn't difficult or impressive for India since the chip research and fab tech they have is roughly early 2000s standards and entirely based on foreign equipment. It does not have any domestic equipment and has not domesticised a single fab technology/method like China always has. India is not sanctioned on this like Russia has been.
China has the market and the technology + talent to overcome these sanctions and China's honestly always been quite a bit closer to leading generation at every step of the way and in every sub-sector of semiconductor fabrication with its own equipment and fab technology that it has domesticated/mastered with the latest one being DUV and DUV taken to heights and domains no other has - allowing China to do 14nm and possibly 7nm (we'll see if a year's time if it can be commercialised). China leads the world in semiconductor design and research... I don't think any other can be considered more broadly competent in design and research than China, of course Korea and Japan dominate their niche fields with Korea honestly surpassing Japan in this area. Russia never had such a market advantage like China enjoys and didn't have as much state funding to "keep up" with the lead at every step. Once sanctions hit, they were crippled by it in a way China hasn't been even a year after total fab equipment bans - although Huawei may have to rely on domestic market and user appeal to survive in smartphones which I hope they don't drop since they can offset relative performance loss with user appeal OS catered to Chinese market.
If India is unable to cooperate with Russia (assuming there is a genuine chip access problem for Russia) due to lower technology (2000s level doesn't cut it for Russia's requirements) and political reasons since India's entire state financed military and space chips are foreign dependent for fab, then China can easily help out. China has no reason to worry about competition since it's long been banned from providing launch services for anyone who uses anything American. Any Russia and Chinese space cooperation would only give more reason to supply chips (anywhere Russia cannot) if they aren't already doing so.