We have answered this same question in a variety of ways.
The up-shot is this. If you are linking in a natural way that any webmaster would, generally, this would not be a problem. However, there are limits that you should be aware of.
You are creating a link scheme and technically speaking, this is against Google guidelines. There is a certain amount of tolerance of course, however, who can say where the line is drawn?
This answer addresses buying links, however, it does address how Google looks at link schemes.
Does Google punish pyramid linking and does reverse negative SEO exist?
This answer speaks to links Google does not like and defines white-hat versus black-hat links.
Is link building a white hat SEO activity?
This answer also talks about how Google views links.
If i have multiple links to the same site on a page is it better to have only 1 passing link equity or all passing link equity?
This is a short answer with a cautionary example of exactly what you are doing.
Drop in rankings after removing sitewide backlinks
This answer talks about what a toxic link is.
What is a toxic link?
This is a small example of answers written that should well educate you on when a link is good or bad.
In your case, if you are talking about just a few sites, a simple review of your process is in order, however, you may find that you are flying under the radar. Be that as it may, you are creating links from low value sites to one of slightly more value. The question is this. What value are you adding? Probably not much. So why are you doing it? It would be far better to link your sites content in a higher value way. Consider that as a strategy.