Powering two esp8266 from a single lipo battery

Hello, I'm trying to power two esp8266 modules from a single 3.7v lipo battery. I'm planning to use a tps63020 boost buck converter to provide a steady 3.3v to the pins. As far as I know the converter can handle the volt and current. The problem is that what if the current spike of the esp happens faster than the converter could react? could that happen? I'm low on space so do I really need capacitors? if so, how should I implement them? What do you guys think? If there's a better way do let me know.
Both boards are wemos d1 mini pro.

Welcome to the forum

How exactly do you intend to connect the 3.3V to the boards ?

The spec for that IC has Capacitors to remove the ripple, but if you are using a module then those are on it.

The current spike will come when the ESPs are trying to connect to a WiFi network, there is something to be said for preventing both units from trying at the same time.

If the question 'why' comes to mind when reading, i have a policy of asking. So Why do you want two ESP8266 boards ? What is the benefit of having 2 boards rather than 1 possible more powerful board like an ESP32 ?

If space is tight, there is a good chance that the WiFi antennas are going to disturb each other.

How do you know this?

The problem is that what if the current spike of the esp happens faster than the converter could react? could that happen?

Yes it could happen.

Do you have a schematic for this buck/boost?

Why two ESP boards, and why not use an ESP32 that can run straight off a LiPo battery.
The XIAO ESP32-C3 comes to mind, and it includes a built-in charger.
Leo..

Do you have any evidence that the caps built into the D1 Mini Pro module are not sufficient to provide stable power, or is this just a "what if"? Anyway, I think the answer is that any such problem would require additional capacitance, probably on the 3.3V pin. But I did a mailbox notifier project with an 18650 feeding the 5V input, and didn't see any disturbance on the 3.3V pin during transmission. But of course that was only one ESP8266.

Lets first wait why OP wants to use two ESP8266 boards.
Two radios next to each other could be a beginner's mistake.
I certainly would never do that.
Leo..