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The Parker Solar Probe (PSP) and Solar Orbiter missions are designed to makegroundbreaking observations of the Sun and interplanetary space within thisdecade. We show that a particularly interesting in situ observation of aninterplanetary coronal mass ejection (ICME) by PSP may arise during close solarflybys ($< 0.1$~AU). During these times, the same magnetic flux rope inside anICME could be observed in situ by PSP twice, by impacting its frontal part aswell as its leg. Investigating the odds of this situation, we forecast the ICMErate in solar cycle 25 based on 2 models for the sunspot number (SSN): (1) theforecast of an expert panel in 2019 (maximum SSN = 115), and (2) a predictionby McIntosh et al. (2020, maximum SSN = 232). We link the SSN to the observedICME rates in solar cycles 23 and 24 with the Richardson and Cane list and ourown ICME catalog, and calculate that between 1 and 7 ICMEs will be observed byPSP at heliocentric distances $< 0.1$ AU until 2025, including 1$\sigma$uncertainties. We then model the potential flux rope signatures of such adouble-crossing event with the semi-empirical 3DCORE flux rope model, showing atelltale elevation of the radial magnetic field component $B_R$, and a signreversal in the component $B_N$ normal to the solar equator compared to fieldrotation in the first encounter. This holds considerable promise to determinethe structure of CMEs close to their origin in the solar corona.

Prediction of the in situ coronal mass ejection rate for solar cycle 25: Implications for Parker Solar Probe in situ observations