[Python] tkinter resizes when adding matplotlib to reserverd space

I have a gui with an empty tk.Canvas widget which I want to fill during runtime with a matplotlib plot. However, when adding the plot, it forces the gui to use the plot size instead of using the provided space, moving stuff around in the gui. What can I do such that the plot is created with the same dimensions as the Canvas?

MWE:

import matplotlib as mpl
mpl.use('TkAgg')

import tkinter as tk
from matplotlib import figure
from matplotlib.backends.backend_tkagg import FigureCanvasTkAgg

root = tk.Tk()

def show_plot():
fig = figure.Figure()
ax=fig.add_subplot()
ax.scatter([1, 2, 3, 4], [4, 7, 2, 4])
canv = FigureCanvasTkAgg(fig, canvas)
canv.draw()
canv.get_tk_widget().pack(fill=tk.BOTH, expand=1)

canvas = tk.Canvas(root, width=600, height=600)
canvas.pack(fill=tk.NONE, expand=0)
tk.Button(root, text='show plot', command=show_plot).pack()

root.mainloop()


I already tried changing the fill and expand parameters in the .pack() calls for both the plot and the canvas but that didn't work.

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