Being well liked by the people around you does not always translate into being known by the people who can actually open a door for you. Those are two different kinds of visibility, and most advice about networking targets the wrong one. What moves things is a small number of people seeing your real work directly, more than once, not a large number of people meeting you once.
Knowing about you is not the same as knowing your work
Plenty of senior people have heard your name. Fewer have actually seen what you can do. That gap matters more than it seems, because advocacy, the kind where someone puts their own reputation behind yours in a room you are not in, requires real confidence in your work, not just friendliness toward you.
A widely cited study by Sylvia Ann Hewlett on workplace sponsorship draws this distinction precisely. A mentor gives advice. A sponsor spends their own credibility, arguing for someone in rooms that person cannot enter. The study is specific about what makes that possible. Sponsors act after they have directly seen the quality of someone's work, repeatedly, not after a good first conversation.
Why asking too early backfires
This is why a direct ask, even a well meant one, so often falls flat. Asking someone to advocate for you before they have seen enough of your work to trust it puts them in an uncomfortable position. It asks for the outcome of trust before the trust exists.
The instinct to fix this with more networking, more introductions, more events, usually makes it worse. It multiplies the number of people who know your name without deepening what any one of them actually knows about your work.
What actually builds it
Dale Carnegie's research on this is old and still holds. Genuine interest in the other person, not performing interest, is what people remember. Paired with that, more recent research on conversation found that asking a real follow up question is one of the most reliably high status moves available in any exchange, because it signals you were actually listening.
Put together, that means fewer, better exchanges. A specific question about someone's actual work. A short, honest update on yours, sent to the right person rather than broadcast to everyone. Showing up, briefly, in the room where something relevant to you is actually being discussed, rather than only in scheduled networking settings, which research on introversion consistently finds are the most costly kind of interaction for a large share of people.
How you treated people with nothing to offer you also compounds here, quietly. The colleague who was dismissed early rarely forgets it, and professional circles are smaller and more connected than they look from inside any one team.
Where to start
Pick one person whose work genuinely intersects with yours, even slightly, who does not already know you well. Do not ask for a coffee chat. Find one real, specific reason for contact, a genuine question about something they are working on, or a short, useful piece of information relevant to them, and send it.
Do that once every few weeks, with a different person, rather than all at once with one person you have decided matters most.
Who actually matters on your team, whose word carries weight with whom, is something you can read better than any article can tell you. What this gives you is what tends to work once you have picked the person.
There is more than one way to make an exchange like that feel natural instead of transactional, and which one fits depends on the person and the setting.